/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 54 Perform the indicated operation.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 54

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{8} \div \frac{2}{3}$$

Short Answer

Expert verified
The simplified result of \( \frac{7}{8} \div \frac{2}{3} \) is \( \frac{21}{16} \).

Step by step solution

01

Rewrite the Division Operation

Firstly, rewrite the division between fractions as multiplication by taking the reciprocal (or multiplicative inverse) of the divisor. This means that \( \frac{7}{8} \div \frac{2}{3} \) should be rewritten as \( \frac{7}{8} * \frac{3}{2} \).
02

Multiply the Fractions

When multiplying fractions, simply multiply the numerators (top numbers) together and do the same with the denominators (bottom numbers). The multiplication operation yields \( \frac{7*3}{8*2} \) resulting in \( \frac{21}{16} \).
03

Simplify the Fraction

The resulting fraction \( \frac{21}{16} \) is already in its simplest form as 21 and 16 share no common divisors other than 1.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Simplify each series of additions and subtractions. $$2-\frac{3}{4}-\left(-\frac{7}{8}\right)$$

Explain how to simplify a series of additions and subtractions. Provide an example with your explanation.

Find the value of each expression. $$\frac{5}{8}-\left(\frac{1}{2}-\frac{3}{4}\right)$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 9 times a number and \(-4\) times the number.

Simplify each algebraic expression. $$5+9 y-29 y$$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.