Elementary Technical Mathematics

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

Chapter 1 - Section 1.8 - Multiplication and Division of Fractions - Exercise - Page 48: 38


3 pieces

Work Step by Step

Divide $6\frac{2}{3}$ by $1\frac{3}{4}$ to obtain: $=6\frac{2}{3} \div 1\frac{3}{4} \\=\frac{3(6)+2}{3} \div \frac{4(1)+3}{4} \\=\frac{20}{3} \div \frac{7}{4}$ Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{[a}{b} \times \frac{d}{c}$ to obtain: $\\=\frac{20}{3} \times \frac{4}{7} \\=\frac{20(4)}{3(7)} \\=\frac{80}{21} \\=3\frac{17}{21}$ Thus, 3 pieces of pipes $1\frac{3}{4}$ ft long can be obtained from the original pipe.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.