/*! 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 39 Convert to a mixed numeral. $$... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 39

Convert to a mixed numeral. $$ \frac{57}{10} $$

Short Answer

Expert verified
5 \frac{7}{10}

Step by step solution

01

Divide the numerator by the denominator

First, divide 57 by 10. Perform the division to find how many whole times 10 fits into 57.
02

Calculate the quotient

57 divided by 10 equals 5 with a remainder. This means that 10 fits into 57 exactly 5 times, leaving a remainder.
03

Find the remainder

Calculate the remainder by multiplying the quotient (5) by the denominator (10) and subtracting from the numerator (57):\[ 57 - (5 \times 10) = 57 - 50 = 7 \]. Hence, the remainder is 7.
04

Write the mixed numeral

The mixed numeral is written by combining the quotient and the remainder over the original denominator: \[ 5 \frac{7}{10} \].

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
Fractions represent parts of a whole and are written in the form \(\frac{a}{b}\) where 鈥榓鈥� is the numerator and 鈥榖鈥� is the denominator. The numerator tells us how many parts we have, while the denominator tells us how many parts make up a whole. For example, if you have a fraction \(\frac{3}{4}\), it means you have 3 parts out of a total of 4.
When dealing with fractions, it鈥檚 helpful to understand mixed numerals, particularly for division and real-world applications. Mixed numerals are numbers consisting of an integer (whole number) and a fraction, which makes them easier to interpret in context.
Division
Division is one of the four basic operations in arithmetic, commonly used to split a number into equal parts. When converting a fraction to a mixed numeral, division helps to separate the whole number from the fractional part.
To convert \(\frac{57}{10}\) to a mixed numeral, follow these steps:
  • Divide the numerator (57) by the denominator (10).
  • Determine how many whole times the denominator fits into the numerator, which gives you the quotient.
  • Here, 57 divided by 10 equals 5 with some remainder.
Division lets us know that 10 goes into 57 exactly 5 times. This quotient becomes the whole number part of your mixed numeral.
Remainders
After performing division, whatever is left over after the whole number part is the remainder. The remainder is essential to forming the fractional part of a mixed numeral.
In our example:
  • We found that 57 divided by 10 equals 5, but it doesn鈥檛 fit perfectly.
  • The remainder is found by calculating \[57 - (5 \times 10) = 57 - 50 = 7\].
  • This means the remainder is 7.
To complete the mixed numeral, place the remainder over the original denominator (10), forming \(\frac{7}{10}\).
Finally, combine the whole number and the fractional part: \[5 \frac{7}{10}\]. This demonstrates how the mixed numeral represents 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

Find the average of \(\frac{1}{4}\) and \(\frac{1}{5}\).

For a community project, an earth science class volunteered one hour per day for three days on the state highway beautification project. The students collected trash along a \(\frac{4}{5}-\mathrm{mi}\) stretch of highway the first day, a \(\frac{5}{8}\) -mi stretch the second day, and a \(\frac{1}{2}\) -mi stretch the third day. How many miles along the highway did they clean?

Estimate each of the following as \(0, \frac{1}{2},\) or 1 . $$ \frac{7}{100} $$

Subtract and simplify. $$ \frac{1}{8}-\frac{1}{12} $$

Simplify. $$ \frac{\frac{5}{9}-\frac{1}{6}}{\frac{2}{3}} $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

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.