/*! 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 630 In the following exercises, subt... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 630

In the following exercises, subtract. $$\frac{3}{2}-\left(\frac{3}{2}\right)$$

Short Answer

Expert verified
The result is 0.

Step by step solution

01

Identify the fractions

Observe that the fractions to be subtracted are both \(\frac{3}{2}\).
02

Write the subtraction expression

Write down the subtraction of the two fractions as \(\frac{3}{2} - \frac{3}{2}\).
03

Perform the subtraction

Subtract the numerators while keeping the common denominator: \(\frac{3-3}{2} = \frac{0}{2}\).
04

Simplify the result

Simplify \(\frac{0}{2}\) to \(0\).

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Fractions
Before diving into subtraction, let's understand what fractions are. A fraction represents a part of a whole. It consists of two numbers separated by a line. The number above the line is the numerator, representing the part of the whole you have. The number below is the denominator, showing how many parts the whole is divided into. For instance, in \(\frac{3}{2}\), 3 is the numerator and 2 is the denominator, meaning you're taking 3 parts out of 2, which is greater than a whole.
Performing Subtraction of Fractions
Subtracting fractions is straightforward when they have the same denominator. In our example, we subtract \(\frac{3}{2} - \frac{3}{2}\). Start by subtracting the numerators while keeping the denominator the same. You perform the subtraction step-by-step:
1. Write down the fractions as a subtraction expression: \(\frac{3}{2} - \frac{3}{2}\).
2. Subtract the numerators: \3 - 3 = 0\.
3. Keep the common denominator: \2\.
By keeping these steps in mind, you will get \(\frac{0}{2}\).
Simplifying Fractions
Once you've performed the subtraction, where possible, simplify the fraction. Simplifying means reducing it to its lowest terms so it can be more easily understood. In the case of \(\frac{0}{2}\), \0\ divided by any number is \0\. So, \(\frac{0}{2}\) simplifies to 0.
To simplify any general fraction:
  • Determine the greatest common divisor (GCD) of the numerator and the denominator.
  • Divide both the numerator and the denominator by this GCD to reduce the fraction.
Simplifying makes fractions easier to work with and often reveals more about their numeric relationships.

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

In the following exercises, solve the equation. $$ \frac{x}{5}=-10 $$

In the following exercises, determine whether the each number is a solution of the given equation. $$ x-\frac{1}{2}=\frac{1}{6} $$ $$ (a)x=1 $$ $$ (b)x=\frac{2}{3} $$ $$ (c)x=-\frac{1}{3} $$

In the following exercises, add. $$\frac{15}{32}+\frac{9}{32}$$

In the following exercises, simplify. $$\frac{\frac{1}{6}+\frac{3}{10}}{\frac{14}{30}}$$

In the following exercises, simplify. $$ -\frac{22}{25}+\frac{9}{40} $$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

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.