FRACTIONS - WHS Get Algebra 1 Support



Mixed number – 4 [pic] (contains a _________ number and a ____________)

Improper fraction - [pic] (______________ is larger than ________________)

| |Steps |Example 1 |Example 2 |

|Changing a Mixed Number|Step 1 – ________ the denominator and |3 [pic] = |4 [pic] = |

|to an Improper Fraction|the __________ number |3 × 8 + 1 = 25 |4 × 9 + 4 = 40 |

| |Step 2 – ______ this answer to the | | |

| |numerator; this becomes the new |Answer:______ |Answer:_______ |

| |numerator | | |

| |Step 3 – Carry the original | | |

| |__________over | | |

| |Step 1 – _________ the numerator by |[pic] = 47 ÷ 5 5 |[pic] = 2 [pic] |

|Changing an Improper |the denominator |[pic] Remainder:_____ |= 2 [pic] |

|Fraction to a Mixed |Step 2 – The answer from step 1 | |Remainder:______ |

|Number |becomes the _______number |Answer:________ | |

| |Step 3 – The _____________ becomes the| |Answer:_______ |

| |new numerator | | |

| |Step 4 – The __________denominator | | |

| |carries over | | |

Practice:

A. Write as an improper fraction.

1. 1[pic] 2. 4[pic] 3. 1[pic] 4. 2[pic]

B. Write as a mixed number.

1. [pic] 2. [pic] 3. [pic] 4. [pic]

|Converting fractions |Step 1 - _______ the numerator (the top number) by the | |

|to decimals |denominator (the |Example: 5 |

| |bottom number) of the fraction. |8 |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

|Converting decimals to|Step 1 - Determine the place value of the last number in the|Example: .625 |

|fractions |decimal; this |the 5 is in the thousandths column, |

| |becomes the denominator. |therefore…. |

| |Step 2 – Make the decimal number your numerator. | |

| |Step 3 - Reduce your answer | |

C. Convert the following fractions into decimals.

1. [pic] 2. [pic] 3. [pic] 4. [pic] 5. [pic] 6. [pic]

D. Convert the following decimals to fractions.

1. .225 2. .375 3. .0175 4. .95 5. .5 6. .45

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