What times what equals 11

What times what equals 11

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Responding to the question wiki UserFor example, -1 times 11.hey I saw it and its what TIMES, that is not what PLUS that. In any case, 1x11 and so on, I can't find XD/en/fractions/adding-and-subtracting-fractions/content/Multiplying fractions A fraction is part of the whole. In the last lesson, you learned how to add and subtract factions. But that's not the only kind of math you can do with factions. There are times when it will be helpful to multiply the factions too. Click on the slideshow to learn how to write a multiplication problem with factions. Let's set an example of multiplication with factions. Suppose you drink two-quarters of a coffee pot every morning. But your doctor just told you that you need to cut your coffee intake in half. Now you need to figure out how much 1/2 of 2/4 pot of coffee. It may not look like a multiplication problem. But when you see a word with factions, it means that you need to multiply. To set an example, we'll simply replace the word with a multiplication sign. Now our example is ready to solve it. Unlike regular multiplication, which gives you a larger number... Unlike regular multiplication, which gives you a larger number... multiplying factions will usually give you a smaller number. So when we multiply 1/2 times 2/4...so when we multiply 1/2 times 2/4... Let's say you have three-to-five cups of chocolate filling. You want to put an equal amount of filling in each of these 4 cupcakes. You can say that you want to put 1/4 of the 3/5 cup filling in each cupcake. Just as we did before, we will change the word as a sign of multiplication. And now our factions are ready to multiply. Try it! Try to create the multiplication problem below. Don't worry about solving it yet! The recipe requires two-thirds of a cup of milk. You want to cut the recipe in half. Note: While our example says that the correct answer is 2/3 x 1/2, remember that multiplication of order does not matter. 1/2 x 2/3 will also be correct. Solving multiplication problems with factions Now that we know how to create multiplication problems with factions, let's practice solving a few. If you feel comfortable multiplying whole numbers, you are ready to multiply the factions. Click on the slideshow to learn how to multiply the two factions. Let's multiply to find 1/2 of 7/10.Just as we did before, we'll replace the word with a multiplication sign. Now we're ready to breed. First, we multiply the numerator: 1 and 7.1 times 7 equals 7, so we'll write 7 to the right of the numerator. When we added factions, the denominators remained the same. But when we multiply, the denominators multiply too.2 times 10 equals 20, so we'll write 20 to the right of the denominators. Now we know 1/2 times 7/10 equals 7/20.We might as well say 1/2 of 7/10 7/20.Let's try another example: 3/5 times 2/3.First, we will multiply our numerator. 3 times 2 equals 6.Next, we multiply our denominators. 5 times 3 equals 3/5 times 2/3 equals 6/15. Try it! Try to solve the multiplication problem below. Multiplying the faction and the whole number Of multiplication faction and the whole number is similar to multiplying the two factions. There is only one additional step: before you can reproduce, you need to turn the whole number into a faction. This slideshow will show you how to do it. Click on the slideshow to learn how to multiply the faction and the whole number. Let's multiply 2 times 1/3. Remember, this is just another way to ask: What is 1/3 of 2? Before we start, we need to make sure that these numbers are ready to multiply. We can't multiply the whole number and the faction, so we'll have to write 2 as a faction. As you learned in the introduction to the factions, we can also write 2 as 2/1.That's because 2 can be divided into 1 in half. Now we're ready to breed! First, we multiply the numerator: 2 and 1.2 times 1 equals 2. We're going to stick out two with the numerators. Next we multiply the denominators: 1 and 3.1 times 3 equals 3. We line three up with denominators. Thus, 2/1 times 1/3 equals 2/3. We might as well say 1/3 of 2 2/3.Let's try another example: 4 times 1/5.We'll have to write 4 as a faction before we start. We'll rewrite 4 as 4/1. Now we're ready to breed. First, we multiply the numerators: 4 and 1.4 times 1 equals 4, so that the numerator of our answer 4.Next, we multiply the denominators: 1 and 5.1 times 5 equals 5, so 5 is the denominator of our answer. Thus, 4/1 times 1/5 equals 4/5. Try it! Try to solve the multiplication problem below. By dividing factions over the last few pages, you've learned how to multiply factions. You might have guessed that you can split the faction too. You divide factions to see how many parts of something is in something else. For example, if you want to know how many quarters of an inch to four inches, you can split 4 into 1/4. Let's try another example. Imagine a recipe requiring 3 cups of flour, but your measuring cup contains only 1/3, or one-third, of a cup. How many thirds of the cups should you add? We need to figure out how many thirds of a cup is in three cups. In other words, we need to divide three by one-third. We'd write a problem like this: 3 ? 1/3 Try it! Try to create these split problems with factions. Don't worry about tackling them yet! The recipe requires three to four cups of water. You only have a 1/8 scoop cup. Solving the problems of separation with factions Now that we know how to write separation problems, let's practice by solving a few. The division of factions is very similar to multiplication. It just requires one extra step. If you can multiply the factions, you can split them too! Click on the slideshow to learn how to divide the entire number by share. Let's divide 3 into 1/3. Remember, this is just another way to ask: How many thirds in 3? In our lesson on separation, you learned how to write a separation sign like this (/). When dividing factions, this will help you use a different symbol division (?), so we are not mistaken for a share. Just like multiplication, we'll start by finding any whole numbers in our problem. There's one: 3.Remember, 3 is the same as 3/1.Before we can split, we have to make another change. In this example, we will switch the numerator and the denominator of the share we share: 1/3. Thus, 1/3 becomes 3/1.This is called the search for a mutual, or multiplier reverse, faction. As we switch our original faction, we will also switch the dividing sign (?) to the multiplication sign (x). This is because multiplication is a reverse separation. Now we can see this as a common multiplication problem. First, we multiply the numerator: 3 and 3.3 times 3 equals 9, so we'll write that next to the numerators. Next, we multiply the denominators: 1 and 1.1 times 1 equals 1, so we write 1 next to the denominator. As you can see, 3/1 x 1/3 and 9/1.Remember, any fraction of more than 1 can also be expressed in the whole number. Thus, 9/1 and 9.3 ? 1/3 and 9. In other words, there are 9 thirds in 3.Let's try another example: 5 divided into 4/7.As always, we will rewrite all the numbers, so 5 becomes 5/1.Next, we will find a reciprocal 4/7. That's the part we're sharing. To do this, we will switch the numerator and the denominator, so that 4/7 becomes 7/4.Then we will change the separation sign (?) to the multiplication sign (x). Now we can reproduce as usual. First, we multiply the numerator: 5 and 7.5 times 7 equals 35, so we'll write that next to the numerators. Next, we multiply the denominators: 1 and 4.1 times 4 equals 4, so we will write that next to the denominators. Thus, 5/1 x 4/7 and 35/4. As you learned earlier, we could convert our wrong faction into a mixed number to make our response easier to read.35/4 No 8 3/4. Thus, ? 4/7 and 8 3/4. Try it! Try to solve these separation problems. Don't worry about shortening the answer at the moment. By dividing the two factions, we just learned how to divide the whole number into a share. The same method can be divided into two factions. Click on the slideshow to learn how to divide into two factions. Let's try the problem with two factions: 2/3 ? 3/4. Here we want to know how many 3/4 are in 2/3.First, we will find the reciprocal factions we are dividing into: 3/4.To do this, we will switch the numerator and the denominator. Thus, 3/4 becomes 4/3.Next, we will change the dividing sign (?) to the multiplication sign (x). Now we're multiplying the numerator. 2 x 4 and 8, so we'll write 8 next to the top numbers. Next, we multiply the denominators. 3 x 3 and 9, so we'll write 9 next to the lower numbers. Thus, 2/3 x 4/3 and 8/9. We might as well write this as 2/3 ? 3/4 and 8/9. Let's try another example: 4/7 divided into 2/9.There are no whole numbers, so we will find the reciprocal factions we are dividing. This is 2/9.To do this, we will switch the numerator and the denominator. Thus, 2/9 becomes 9/2.Now we will change the separation sign (?) to the multiplication sign (x) and multiply as We're going to multiply the numerator. 4 x 9 and 36. 7 x 2 14.So 4/7 x 9/2 and 36/14. As before, you can convert this wrong faction into a mixed number. Thus, 4/7 ? 2/9 and 2 8/14. Try it! Try to solve these separation problems. Don't worry about shortening the answer at the moment. Multiplying and dividing mixed numbers How would you solve a problem like this? As you learned in the previous lesson, whenever you solve a mixed number problem you will need to convert it into the wrong faction first. Then you can multiply or divide as usual. Using cancellation to simplify problems can sometimes be necessary to solve such problems: both of these factions include a large number. These factions can be multiplied in the same way as any other faction. However, a large number like this can be hard to understand. Can you imagine 21/50, or twenty-one fifties, in your head? 21/50 x 25/14 and 525/700 Even the answer looks complicated. It's 525/700, or five hundred and twenty-five hundred. What a sip! If you don't like working with large numbers, you can simplify a problem like this with a method called cancellation. When you cancel factions in a problem, you reduce them both at the same time. Cancellation may seem complicated at first, but we'll show you how to do it step by step. Let's take another look at the example we just saw. Step 1 First, look at the numerator of the first faction and the denominator of the second. We want to see if we can divide them into the same number. In our example, it seems like 21 and 14 can be divided into 7. Step 2 Next, we'll split 21 and 14 to 7. First, we'll split our top number on the left: 21. 21 ? 7 and 3 Then we will divide the bottom number on the right: 14. On ? 14 and 7 and 2 We will write answers to each problem next to the numbers we shared. From 21 ? 7 equals 3, we write 3, where 21 was. 14 ? 7 equals 2, so we'll write 2 where 14 was. We can cross out or cancel the numbers we started with. Our problem looks a lot easier now, doesn't it? Step 3 Let's look at the other numbers in the faction. This time we look at the denominator of the first faction and the number of the second. Can they be divided into the same number? Note that they can both be divided into 25! You may also have noticed that they can both be divided into 5. We could use 5 too, but overall, when you cancel, you want to look for the highest number both numbers can be divided. So you don't have to reduce the faction again at the end. Step 4 Next, we will cancel just as we did in step 2.We will split our bottom number on the left: 50. 50 ? 25 and 2 Then we will split the top number on the right: 25. On ? 25 and 1, we'll write answers to each problem next to the numbers we shared. Step 5 Now that we have abolished the original factions, we can multiply our new factions as we normally would. As always, multiply the numerator first: 3 1 and 3 Then multiply multiply 2 x 2 and 4 So 3/2 x 1/2 3/4, or three quarters. Step 6 Finally, let's double-check our work. 525/700 would be our answer if we solved the problem without cancellation. If you divide 525 and 700 into 175, you can see that 525/700 is 3/4. You could also say that we are reducing 525/700 to 3/4. Remember that repeal is just another way to reduce factions before solving a problem. You will get the same answer no matter when you reduce them. /en/fractions/converting-percentages-decimals-and-fractions/content/ /en/fractions/converting-percentages-decimals-and-fractions/content/ what times what equals 112. what times what equals 110. what times what equals 111. what times what equals 117. what times what equals 116. what times what equals 114. what times what equals 113. what times what equals 115

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