Exercise 2 Page 284

In the given expression, we have two mixed numbers. 1 34 * 2 45 Before we evaluate such expressions, we should rewrite the expression so that all of the numbers are fractions. We can rewrite any mixed number into a fraction using the following method. Let's first rewrite our expression so that all of the numbers are fractions!

1 34 * 2 45

MixedToFrac

a bc=a* c+b/c

1* 4+3/4 * 2* 5+4/5

Multiply

Multiply

4+3/4 * 10+4/5

AddTerms

Add terms

7/4 * 14/5

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 given product!

7/4 * 14/5

MultFrac

Multiply fractions

7* 14/4* 5

Rewrite

Rewrite 14 as 2* 7

7* 2* 7/4* 5

Rewrite

Rewrite 4 as 2* 2

7* 2* 7/2* 2* 5

CancelCommonFac

Cancel out common factors

7* 2* 7/2* 2* 5

SimpQuot

Simplify quotient

7 * 7/2* 5

Multiply

Multiply

49/10

The quotient is 4910. We can also write this fraction as a mixed number.

49/10

WriteSum

Write as a sum

40+9/16

WriteSumFrac

Write as a sum of fractions

40/10+9/10

CalcQuot

Calculate quotient

4+9/10

AddTerms

Add terms

4 910