/*! 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 68 Write a fraction with denominato... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 68

Write a fraction with denominator 24 that is equivalent to \(\frac{5}{8}\)

Short Answer

Expert verified
The fraction is \(\frac{15}{24}\).

Step by step solution

01

- Understand the problem

The problem asks to find a fraction with denominator 24 that is equivalent to the given fraction \(\frac{5}{8}\).
02

- Set up the equation

An equivalent fraction can be found by multiplying the numerator and the denominator of \(\frac{5}{8}\) by the same number. Here, the target denominator is 24.
03

- Determine the multiplication factor

To change the denominator from 8 to 24, find the number that when multiplied by 8 equals 24. This number is 3, because \(8 \times 3 = 24\).
04

- Multiply numerator and denominator by the same factor

Multiply both the numerator and denominator of \(\frac{5}{8}\) by 3 to get the equivalent fraction. \[\frac{5 \times 3}{8 \times 3} = \frac{15}{24}\]
05

- Write the equivalent fraction

The fraction equivalent to \(\frac{5}{8}\) with a denominator of 24 is \(\frac{15}{24}\).

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.

Fractions
A fraction represents a part of a whole. It is written with two numbers separated by a slash.
The number above the slash is called the 'numerator,' and the number below it is the 'denominator.'
Fractions can be simplified or turned into equivalent fractions by multiplying or dividing both the numerator and the denominator by the same number.
Understanding this allows us to express the same part of a whole in different ways.
Numerator and Denominator
The numerator and denominator are essential parts of a fraction.
The numerator tells us how many parts we have, and the denominator tells us how many equal parts make up a whole.
For example, in the fraction \(\frac{5}{8}\), 5 is the numerator, and 8 is the denominator. This means we have 5 parts out of a total of 8 equal parts.
Understanding the relationship between the numerator and the denominator helps in operations like finding equivalent fractions.
Multiplication
In fractions, multiplication is used to find equivalent fractions.
This involves multiplying both the numerator and the denominator of a fraction by the same number without changing its value.
In our example, we wanted to change the denominator of \(\frac{5}{8}\) to 24. We determined that multiplying 8 by 3 gives us 24.
\(8 \times 3 = 24\)
To find the new numerator, we also multiply the original numerator by 3:
\(5 \times 3 = 15\)
This gives us the equivalent fraction \(\frac{15}{24}\), which represents the same value as the original fraction.

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

Write a numerical expression for each phrase and simplify. Twice the product of \(-1\) and \(6,\) subtracted from \(-4\)

Write each word phrase as an algebraic expression, using \(x\) as the variable. Four subtracted from a number

The top of Mt. Whitney, visible from Death Valley, has an altitude of \(14,494\) ft above sea level. The bottom of Death Valley is 282 ft below sea level. Using 0 as sea level, find the difference between these two elevations.

To find the average (mean) of numbers, we add the numbers and then divide the sum by the number of terms added. For example, to find the average of \(14,8,3,9,\) and \(1,\) we add them and then divide by 5. $$ \frac{14+8+3+9+1}{5}=\frac{35}{5}=7 \leftarrow \text { Average } $$ Find the average of each group of numbers. $$ -17,34,9,-2 $$

Insert one pair of parentheses so that the left side of each equation is equal to the right side. $$ 10-7-3=6 $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

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.