/*! 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 49 Simplify by dividing the numerat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 49

Simplify by dividing the numerator by the denominator. $$\frac{6}{3}$$

Short Answer

Expert verified
The simplified form of \( \frac{6}{3} \) is 2.

Step by step solution

01

Identify Numerator and Denominator

In the fraction \( \frac{6}{3} \), the numerator is 6 and the denominator is 3. Your goal in simplifying is to divide the numerator by the denominator.
02

Perform the Division

Divide 6 by 3: \[ 6 \div 3 = 2 \] This means that when the numerator divided by the denominator, the result is 2.
03

Write the Simplified Form

Since the result of dividing the numerator by the denominator is 2, the simplified form of the fraction \( \frac{6}{3} \) is 2.

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 Numerators and Denominators
In any fraction, we encounter two main components: the numerator and the denominator. To easily spot these parts in a fraction like \( \frac{6}{3} \):
  • The **numerator** is the top number, in this case, 6. It represents the number of parts we are considering.
  • The **denominator** is the bottom number, which is 3 for this fraction. It tells you into how many equal parts the whole is divided.
These parts of the fraction are crucial for understanding how fractions work and knowing how to simplify them, like we are doing with \( \frac{6}{3} \).
You start by figuring out what these numbers mean, which will guide the next steps to simplify the fraction.
Performing Division in Fractions
Division is the key operation used to simplify fractions. This means converting a fraction like \( \frac{6}{3} \) into its simplest form by dividing the numerator by the denominator.Here鈥檚 how it works with our example:
  • Take the numerator 6 and divide it by the denominator 3.
  • Mathematically, it looks like \( 6 \div 3 = 2 \).
What this division tells us is how many times the denominator fits into the numerator.
When the division results in a whole number, the fraction can often be simplified to that whole number.
Achieving the Simplified Form
Simplifying fractions means reducing them to their simplest form.For the fraction \( \frac{6}{3} \), after performing the division, you get 2.This 2 is considered the **simplified form** of the original fraction. Here's why:
  • There are no common factors in the numerator and denominator other than 1 that could simplify it further.
  • The result is a whole number, which is the simplest representation of a fraction that originally had a denominator of 1 (since \( \frac{2}{1} = 2 \)).
Simplifying fractions into whole numbers, like turning \( \frac{6}{3} \) into 2, makes calculations easier and results clearer. Always aim for the simplest form when working with fractions to ensure they are easy to understand and use.

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

Reduce each fraction to lowest terms. $$\frac{273}{385}$$

House Plans. If \(\frac{1}{8}\) inch represents \(1 \mathrm{ft}\) on a drawing of a new home, determine the dimensions of a bedroom that measures 2 inches by 2 inches on the drawing.

Multiply or divide as indicated. $$\frac{3}{4} \div \frac{5}{6}$$

Write your answers as proper fractions or mixed numbers, not as improper fractions. Find the following products. (Multiply.) $$3 \frac{1}{2} \cdot 2 \frac{1}{6}$$

Find the following sums. (Add.) \(5 \frac{2}{7}+8 \frac{1}{7}+3 \frac{5}{7}\)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

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.