/*! 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 87 Find the value of each expressio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 87

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

Short Answer

Expert verified
The result of the expression \(\frac{5}{8}-\left(\frac{1}{2}-\frac{3}{4}\right)\) is \(\frac{7}{8}\)

Step by step solution

01

Subtract the fractions within the bracket

For fraction subtraction, make the denominators the same. The Least Common Multiple (LCM) of 2 and 4 is 4, so we keep 4 as a common denominator, and convert 1/2 to 2/4. So, the equation becomes \(5/8 - (2/4 - 3/4)\). Subtracting these gives \(5/8 - (-1/4)\)
02

Simplifying the equation

The negative sign before the bracket changes the signs of all terms inside the bracket. The equation becomes \(5/8 +1/4\).
03

Adding the fractions

First, change the fractions to a common denominator. The LCM of 8 and 4 is 8. So, we convert 1/4 to 2/8. Now, the equation becomes \(5/8 + 2/8\), which gives \(7/8\) as the final result.

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

Find the value of each expression. $$|-9-(-3+7)|-|-17-(-2)|$$

Perform the indicated subtraction. $$9.8-2.2$$

Perform the indicated subtraction. $$-3.47-(-3.47)$$

Perform the indicated subtraction. $$-29-21$$

Perform the indicated subtraction. $$4 \pi-(-12 \pi)$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

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.