/*! 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 67 What is \(\frac{1}{3}\) of the s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 67

What is \(\frac{1}{3}\) of the sum of 8 and \(4 ?\)

Short Answer

Expert verified
The result is 4.

Step by step solution

01

Understand the Problem

We need to find one-third of the sum of two numbers, which are 8 and 4.
02

Calculate the Sum

Add the two numbers together: \[ 8 + 4 = 12 \]
03

Calculate One-Third

Divide the sum (which is 12) by 3 to find one-third of it:\[ \frac{12}{3} = 4 \]

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.

Addition
Addition is an essential mathematical operation that combines two or more numbers into a single value, known as the sum. Whenever you add two numbers, you're basically "counting together." In the example exercise, we needed to add 8 and 4 to get their total value.
Here's how it works:
  • Start by aligning the numbers, which can be helpful if you're working with larger numbers.
  • Add the digits starting from the rightmost position (the units), then move to the left (tens, hundreds, etc.).
  • In our specific example, you simply add 8 and 4. This gives us the sum, 12.
Understanding addition is foundational as it applies to various scenarios in math, from calculating totals to understanding more complex equations.
Division
Division is like sharing. It involves splitting a number into equal parts or groups. In the exercise, we needed to find one-third of the sum, so we divided the total by 3.
Here's a breakdown of division:
  • You have a total amount, or dividend, which you want to divide.
  • You divide this amount by the number of parts, or divisor, you need. This tells you how many items fit into each part.
  • In our case, with a sum of 12 as the dividend and 3 as the divisor, dividing 12 by 3 gave us the answer, which is 4.
Remember, division helps to find out how many times one number is contained within another, or to distribute an amount among a set number of pieces.
Basic Arithmetic
Basic arithmetic covers the fundamental operations, which are addition, subtraction, multiplication, and division. These operations form the building blocks for more advanced math topics.
Here's what makes them essential:
  • **Addition** combines numbers to form a larger sum.
  • **Subtraction** is the inverse of addition. It removes one number from another.
  • **Multiplication** is repeated addition. If you're familiar with any times tables, you've mastered this operation.
  • **Division** breaks a number into smaller parts, as we explained earlier.
By getting comfortable with these basics, anyone can solve everyday problems, from calculating a grocery bill to determining how much fabric you need for a project. Practicing these skills increases your speed and confidence in handling math tasks.

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

These problems review the four basic operations with fractions from this chapter. Perform the indicated operations. $$8 \cdot \frac{5}{6}$$

Arithmetic Sequences Recall that an arithmetic sequence is a sequence in which each term comes from the previous term by adding the same number each time. For example, the sequence \(1, \frac{3}{2}, 2, \frac{5}{2}, \ldots\) is an arithmetic sequence that starts with the number 1. Then each term after that is found by adding \(\frac{1}{2}\) to the previous term. By observing this fact, we know that the next term in the sequence will be \(\frac{5}{2}+\frac{1}{2}=\frac{6}{2}=3\) Find the next number in each arithmetic sequence below. $$1, \frac{4}{3}, \frac{5}{3}, 2, \dots$$

The following problems all involve the concept of borrowing. Subtract in case. \(9 \frac{1}{3}-8 \frac{2}{3}\)

The following problems all involve the concept of borrowing. Subtract in case. \(8-1 \frac{3}{4}\)

The following problems all involve the concept of borrowing. Subtract in case. \(13 \frac{1}{6}-12 \frac{5}{8}\)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Pure 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.