Fractions and decimals are closely related. A fraction can be expressed as either a repeating or terminating decimal. A decimal is a special type of fraction — it always has a denominator that's some power of ten. Decimal numbers are often written with a lead zero. You'll see 0.031 instead of .031. The lead zero helps keep the decimal point from getting overlooked.
In this chapter, you'll work with fractions and decimals in the following ways:
Don't let common mistakes trip you up; remember the following when working with fractions and decimals:
91–96 Find the sums and differences of the fractions.
91.
92.
93.
94.
95.
96.
97–100 Multiply the fractions and mixed numbers.
97.
98.
99.
100.
100–104 Divide the fractions and mixed numbers.
101.
102.
104.
105–110 Simplify the complex fractions.
105.
106.
107.
108.
109.
110.
111–114 Find the sums and differences of the decimal numbers and variable expressions.
111. 432.04 + 6.0001 =
112. 15.4 − 5.123 =
113. x + 0.043x =
114. 5.3y − 4.712y =
115–118 Find the products of the decimal numbers and variable expressions.
115. 4.3 × 0.056 =
116. 6.21(−5.5) =
118. 3.7y(−4.5y)(−0.1y) =
119–124 Find the quotients of the decimal numbers. Round the answer to three decimal places, if necessary.
119. 36.5 ÷ 0.05 =
120. 0.143 ÷ 1.1 =
121. 6 ÷ 0.0123 =
122. −72 ÷ 3.06 =
123. 1.45 ÷ 0.03 =
124. 67.4 ÷ 0.037 =
125–132 Rewrite each fraction as an equivalent decimal.
125.
126.
127.
128.
130.
131.
132.
133–140 Rewrite each decimal as an equivalent fraction.
133. 0.75
134. 0.875
135. 0.0008
136. 0.1525
137. 0.888...
138. 0.636363...
139. 0.261261...
140. 0.285714285714...