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