Exercise 32 Page 292

Practice makes perfect

Before we evaluate the expression, let's first rewrite it so that all of the numbers are fractions.

2/3(0.8)

WriteAsFrac

Write as a fraction

2/3(8/10)

ReduceFrac

a/b=.a /2./.b /2.

2/3(8÷ 2/10÷ 2)

SimpQuot

Simplify quotient

2/3(4/5)

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the product!

2/3(4/5)

MultFrac

Multiply fractions

2* 4/3* 5

Multiply

8/15

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the product!

4/3* 3/7

MultFrac

Multiply fractions

4* 3/3* 7

Multiply

12/21

ReduceFrac

a/b=.a /3./.b /3.

12÷ 3/21÷ 3

SimpQuot

Simplify quotient

4/7

The product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the product of the fractions!

-5/6* 4/7

MultFrac

Multiply fractions

-5* 4/6* 7

Multiply

- 20/42

ReduceFrac

a/b=.a /2./.b /2.

- 20÷ 2/42÷ 2

SimpQuot

Simplify quotient

- 10/21

Before we simplify the expression, let's first rewrite it so that all of the numbers are fractions.

- 4/5*(-1 13)

MixedToFrac

a bc=a* c+b/c

- 4/5*(-1* 3+ 1/3)

IdPropMult

Identity Property of Multiplication

- 4/5*(-3+ 1/3)

AddTerms

Add terms

- 4/5*(-4/3)

The product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the product of the fractions.

- 4/5*(-4/3)

MoveNegFracToNum

Put minus sign in numerator

- 4/5*- 4/3

MultFrac

Multiply fractions

(- 4)(- 4)/5* 3

Multiply

16/15

We can write this as a mixed number.

16/15

WriteSum