Math Worksheet - 7th Grade Page 9
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11Operations with Fractions:
Like fractions are fractions that have the same denominator. To add or subtract like fractions,
add or subtract the numerators and write the result over the denominator.
Simplify if necessary
.
Examples:
.
Find
. Write in simplest form.
Find
Write in simplest form.
Add the numerators
Subtract the numerators.
Write the sum over
Write the difference over
denominator
denominator
= 1
Simplify
.
To add or subtract fractions with different denominators,
• Rename the fractions using the least common denominator (LCD).
• Add or subtract as with like fractions.
• If necessary, simplify the sum or difference.
Example: Find
Rename using the LCD, 12.
or
Add the fractions.
To multiply fractions, multiply the numerators and multiply the denominators.
To multiply mixed numbers, rename each mixed number as an improper fraction. Then multiply
the fractions.
Examples:
.
Find
Write in simplest form.
Find
. Write in simplest form.
Rename
as an improper fraction,
Simplify
Multiply
Simplify
To divide by a fraction, multiply by its multiplicative inverse or reciprocal.
To divide by a mixed number, rename the mixed number as an improper fraction.
.
Example: Find
Write in simplest form.
Rename
as an improper fraction.
,
Multiply by the reciprocal of
which is .
5
3
Divide out common factors.
1
1
= 15
Multiply.
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