/*! 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 88 Find the value of each expressio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 88

Find the value of each expression. $$\frac{9}{10}-\left(\frac{1}{4}-\frac{7}{10}\right)$$

Short Answer

Expert verified
The value of the expression is 1.

Step by step solution

01

Resolve the Inner Parentheses

Start by resolving the expression inside the parentheses first due to the BIDMAS rule (Brackets, Indices, Division, Multiplication, Addition, Subtraction). Thus perform the subtraction: \( \frac{1}{4} - \frac{7}{10} = \frac{10 - 14}{40} = -\frac{1}{10} \).
02

Subtract the Result from \(\frac{9}{10}\)

Now, subtract the value obtained in step 1 (-1/10) from \(\frac{9}{10}\). The fraction \(\frac{9}{10}\) minus -\(\frac{1}{10}\) is the same as \(\frac{9}{10}\) + \(\frac{1}{10}\). Therefore, \( \frac{9}{10} + \frac{1}{10} = \frac{10}{10}\).
03

Simplify the Fraction

The fraction \(\frac{10}{10}\) can be simplified to 1 because the numerator and denominator are equal.

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. $$-10-(-5)+7-2$$

Explain how to subtract real numbers.

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

Simplify each series of additions and subtractions. $$-0.16-5.2-(-0.87)$$

Perform the indicated subtraction. $$\frac{2}{5}-\left(-\frac{1}{10}\right)$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

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.