To add (or subtract) two fractions :

Operations With Fractions Worksheets

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1) Find the least common denominator .

2) Write both original fractions as equivalent fractions with the least common denominator.

3) Add (or subtract) the numerators.

4) Write the result with the denominator.

Example 1:

Add 1 3 + 3 7 .

The least common denominator is 21 .

1 3 + 3 7 = 1 7 3 7 + 3 3 7 3 = 7 21 + 9 21 = 16 21

Operations With Fractions Review

To multiply two fractions:

1) Multiply the numerator by the numerator.

2) Multiply the denominator by the denominator.

For all real numbers a , b , c , d ( b 0 , d 0 )

a b c d = a c b d

Example 2:

Multiply 1 4 5 6 .

1 4 5 6 = 1 5 4 6 = 5 24

To divide by a fraction, multiply by its reciprocal .

For all real numbers a , b , c , d ( b 0 , c , d 0 )

a b ÷ c d = a b d c = a d b c

Example 3:

Divide 3 4 ÷ 5 7 .

3 4 ÷ 5 7 = 3 4 7 5 = 3 7 4 5 = 21 20

Mixed numbers can be written as an improper fraction and an improper fraction can be written as a mixed number.

Example 4:

Write 7 2 5 as an improper fraction.

7 2 5 = 7 1 + 2 5 = 7 5 1 5 + 2 5 = 35 5 + 2 5 = 37 5

Example 5:

Write 11 7 as a mixed number in simple form.

11 7 = 11 ÷ 7 = 1 R 4

Therefore, 11 7 = 1 4 7 .

A fraction is in lowest terms when the numerator and denominator have no common factor other than 1 . To write a fraction in lowest terms, divide the numerator and denominator by the greatest common factor .

Example 6: Call of duty® 2 download for mac.

Write 45 75 in lowest terms.

Unit 5operations With Fractionswelcome

45 and 75 have a common factor of 15 .

45 75 = 45 ÷ 15 75 ÷ 15 = 3 5

Visual Aids for Teaching
Fractions Worksheets

Visual Fraction Worksheets
Fractions Worksheets

Visual Addition
Fractions Worksheets
5operations
Adding Simple Fractions
Fractions Worksheets

Adding Two Fractions
Fractions Worksheets

Adding Three Fractions
Fractions Worksheets

Adding Mixed Numbers
Fractions Worksheets

Visual Subtraction
Fractions Worksheets

Subtracting Simple Fractions
Fractions Worksheets

Subtracting Fractions
Fractions Worksheets

Subtracting Three Fractions
Fractions Worksheets

Subtracting Fractions and
Whole Numbers Worksheets

Subtracting Mixed Numbers
Fractions Worksheets

Adding & Subtracting
Three Fractions
Fractions Worksheets

Multiplying Fractions
Fractions Worksheets

Multiplying Fractions
with Cross Cancelling

Multiplying Mixed Numbers
Fractions Worksheets

Multiplying Fractions
with Whole Numbers

Dividing Fractions
Invert and Multiply

Dividing Mixed Numbers
Fractions Worksheets

Dividing Fractions
with Whole Numbers

Prime Factorization Trees
Fractions Worksheets

Greatest Common Factor
Fractions Worksheets

Least Common Multiple
Fractions Worksheets

Equivalent Fraction Problems
Fractions Worksheets

Equivalent Fractions
Fractions Worksheets

Reducing Fractions
Fractions Worksheets

Converting Between Fractions
& Decimals Worksheets

Comparing
Fractions Worksheets

Denominators and Numerators
Comparison Worksheets

Comparing Fractions
& Decimals Worksheets

Improper & Mixed Number
Fractions Worksheets

Solving Fractions with
Exponents Worksheets

All Operations With Fractions Worksheet

Adding Tape Measure
Fractions Worksheets

Order Of Operations With Fractions

Adding Fractional
Inches Worksheets

Subtracting Tape Measure
Fractions Worksheets

Subtracting Fractional
Inches Worksheets

Operations With Fractions Examples

Decimal Equivalents of Fractions
for an Inch Worksheets

Finding Fractions
of Whole Numbers
Fractions Worksheets

Numbers And Operations Fractions


Adding and Subtracting
Fractional Inches
with Borrowing Worksheets

Adding and Subtracting
Fractional Feet & Inches
with Borrowing Worksheets

Ordering Fractions
Fractions Worksheets

Operations With Fractions Practice Pdf