Multiplication and Division of Fractions

Multiplication and Division of Fractions

​

Multiplication of Fractions

• Multiply straight across for both top bottom

• Reduce the fraction before multiplying

• Cross multiply the numbers- top right fraction is multiplied by bottom left fraction top left fraction is multiplied by bottom right fraction

Steps of Multiplication of Fractions

Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

Examples of multiplication of fractions

Division of Fractions

KEEP

CHANGE

FLIP-the fraction

Division of Fractions

• KEEP-KEEP the first fraction the same

• CHANGE-Change the division to multiplication

• FLIP-flip the fraction where the bottom number becomes the top number

• Multiply your fractions

• Reduce to simplest Terms

Examples of Division

Multiple Choice

Find the product.  Then, simplify.

• 10/18
• 5/9
• 10/6
• 15/12

Multiple Choice

⁴/₉  ÷  ¹/₂

• ⁸/₉
• ⁵/₁₁
• ⁶/₁₀
• ⁴/₁₈

Multiple Choice

$\frac{4}{7}\div\frac{8}{9}$ =

• 32/63

• 19/14

• 36/56

• 1/2

Multiple Choice

$\frac{3}{5}\div\frac{5}{6}$

• 18/25

• 1/2

• 5/10

• 18/10

Multiple Choice

$$\frac{4}{10}\times\frac{2}{3}$$  =

• 8/30

• 5/13

• 6/13

• 5/30

Multiple Choice

$$\frac{2}{4}\times\frac{1}{2}$$  

• 3/6

• 3/8

• 1/4

• 2/6

Multiple Choice

$$\frac{3}{10}\times\frac{2}{3}$$  

• 1/5

• 5/13

• 6/13

• 5/30

Multiple Choice

What is the quotient of these fractions in lowest terms?

• 6/40
• 6/10
• 3/5
• 12/20

Multiple Choice

Divide and simplify if possible.

• ¹ / ₂ ₄ 
• ⅛
• ⅜
• ² / ₁ ₁

Multiple Choice

Multiply and simplify if possible.

• - ¹ / ₁ ₈
• ¹ / ₁ ₈
• - ⁴ / ₉
• 3 ⁵ / ₇

Multiple Choice

• 8/105

• 14/60

• 7/30

• 6/22

Multiple Choice

Multiply

• 5 / 9
• 3 / 10
• 1 / 4
• 23 / 20

Multiple Choice

Divide these fractions

• 8 / 9

• 6/ 12

• 17 /12

• .333 / .75

Multiple Choice

What is the quotient of these fractions in lowest terms?

• 6/40

• 6/10

• 3/5

• 12/20