Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
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Chapter 4 - Decimals - 4.6 Fractions and Decimals - 4.6 Exercises - Page 312: 3

Answer

One would set up (eventually adding zeros to the dividend): $~~~~0.$ $4\overline{)3.}$

Work Step by Step

In order to convert the fraction $\frac{3}{4}$ to a decimal, we divide $3$ by $4$: $~~~~0.$ $4\overline{)3.}$ The next step would be to write zeros in the dividend ($3.00$). Then one would place a 7 in the quotient and subtract $7*4=28$ from $30$ in the dividend. One would continue this process until there is no remainder or until the sufficient number of significant digits is obtained.
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