4.5-Fractions and DecimalsCatherine ConwayMath 081

Converting Fractions

to Decimals

Divide the numerator by the denominator to convert fractions to decimals

0.75 0.5 ? ?0.2727… 0.5833

Converting Decimals

to Fractions

Use the place values assigned to the digits to the right of the decimal point.0.38 8 is in the hundredth place value or we

read this as thirty-eight hundredth

38100

Reduce the

fraction

¿1950

Converting Decimals

to Fractions

For a mixed number, the number to the left of the decimal is the whole number in the mixed number.

15.6 15 is the whole number, .6 is six tenths.

15610

Reduce the

fraction

¿1535

Problems containing both Fractions and Decimals

Simplify Simplify

Order of operations: Parentheses (add)Multiply

1950

(1.8)

0.38 (1.8)

0.684

Convert 19/50 to a decimal

Order of operations: Multiply, Add

Convert 2/5 and 1/2 to a decimal0.5

0.5

0.80.8 can be converted back into a fraction

.8 = =

Problems containing both Fractions and Decimals

Simplify Simplify Order of operations: Divide

2.990.5

5.98

Convert 1/2 to a decimal

Order of operations: Exponents, Multiply, Add

Divide numerator by denominator

( 18 )(2.4 )+( 116 ) (3.2 )

( 2.48 )+( 3.216 )0 .3+0 .20 .5

Application

Price of Beef – If each pound of beef cost $2.59, how much does pound cost?

2.59 x

2.59 x

Cost per pound x number of pounds

8.4175Round it to the nearest hundredth

$8.42

Application

Sale Price – A dress that cost $57.99 is on sale 1/3 off. What is the sales price of the dress?

57.99 x

57.99∗23 $38.66

115.983