Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Section 1.13 - Percent - Exercises - Page 79: 81

Answer

fraction = decimal = percent $\frac{3}{8}$ = 0.375 = 37.5% $\frac{9}{20}$ = 0.45 = 45% $\frac{9}{50}$ = 0.18 = 18% 1$\frac{2}{5}$ = 1.4 = 140% 1$\frac{2}{25}$ = 1.08 = 108% $\frac{67}{400}$ = 0.1675 = 16$\frac{3}{4}$%

Work Step by Step

ANSWER 1. Step 1. Fraction to decimal: To change a fraction we divide the numerator by the denominator so, the fraction $\frac{3}{8}$ has 3 as a Numerator and 5 as a denominator therefore we divide 3 by 8. $\frac{3}{8}$ = 0.375 which gives us 0.375 as the division answer Step 2. Decimal to Percent: To put a decimal into percent we multiply the decimal by 100 or Simply shift the decimal place two places to the right. 0.375 = 37.5% which gives us 37.5% as the percent. hence, (fraction) $\frac{3}{8}$ = (Decimal) 0.375 = (Percent) 37.5% ANSWER 2. Here we have been given a decimal 0.45 which we need to convert to Fraction and Percent Step 1. Decimal to Percent: To put a decimal into percent we shift the decimal place two places to the right. 0.45 = 45% Step 2. Percent to Fraction: a percent is simply a fraction multiplied by 100 so to get the fraction we divide the Percent by 100. 45% = 45 $\times$ $\frac{1}{100}$ = $\frac{45}{100}$ = $\frac{9}{20}$ SO 45% = $\frac{45}{100}$ = $\frac{9}{20}$ in the simplest form. hence, (fraction) $\frac{9}{20}$ = (Decimal) 0.45 = (Percent) 45% ANSWER 3. Here we have been given 18% which we need to convert to Decimal and Fraction. Step 1. Percent to Decimal: simply shift decimal point two places to the left 18% = 0.18 which gives us 18% = 0.18 as the decimal Step 2. Decimal to Fraction: to convert decimal into the fraction we Divide the decimal by 100. and get numerator and the denominator to their simplest form. 0.18 = $\frac{18}{100}$ = $\frac{9}{50}$ which gives us 0.18 = $\frac{9}{50}$ hence, (fraction) $\frac{9}{50}$ = (Decimal) 0.18 = (Percent) 18%
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