/*! 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 35 Find each quotient. $$ \frac... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 35

Find each quotient. $$ \frac{15}{5} $$

Short Answer

Expert verified
The quotient is 3.

Step by step solution

01

Understand the Problem

Analyze what needs to be done. Here, it's necessary to find the quotient of the division \( \frac{15}{5} \). A quotient is the result of dividing one number by another.
02

Perform the Division

Divide the numerator by the denominator: \( \frac{15}{5} \). You need to determine how many times the number 5 can fit into 15.
03

Calculate the Results

By performing the division, \( 15 \div 5 = 3 \). Hence, the quotient is 3.

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.

finding quotients
In algebra, a quotient represents the result you get after dividing one number by another. For example, to find the quotient of \( \frac{15}{5} \), you're essentially asking how many times the number 5 can be evenly distributed into 15. This process involves understanding the components of the division: the numerator (the number being divided) and the denominator (the number by which you're dividing). A clear comprehension of the roles of these components aids in the accurate calculation of the quotient.
basic division
Division is one of the fundamental operations in algebra and arithmetic. It involves determining how many times one number (the divisor) fits into another number (the dividend). For example, in the equation \( 15 \div 5\), 15 is the dividend and 5 is the divisor. To solve it:
  • Identify the dividend (15)
  • Identify the divisor (5)
  • Perform the division operation by seeing how many times the divisor fits into the dividend.
When you calculate \( 15 \div 5 \), you find that 5 fits into 15 exactly 3 times, so the quotient is 3. This method can be applied to more complex problems once the basic concept is mastered.
algebraic operations
Algebraic operations are the backbone of solving any algebra problem. These operations include addition, subtraction, multiplication, and division. Understanding how to perform these operations is crucial for tackling more advanced algebraic concepts. Let's break down some key points:
  • Addition: Combines quantities together.
  • Subtraction: Determines the difference between quantities.
  • Multiplication: Calculates the total when one number is taken multiple times.
  • Division: Distributes a quantity into equal parts or groups.
When dealing with algebraic fractions, such as \( \frac{15}{5} \), division plays a pivotal role. It helps simplify expressions and solve equations by isolating variables or making the calculations easier to handle. Mastery of these basic operations is essential for progressing in algebra.

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

Bruce Buit also enjoys playing Triominoes. On five successive turns, his scores were \(-13,15,-12,24,\) and \(14 .\) What was his total score for the five turns?

Translate each phrase into a mathematical expression. Use \(x\) as the variable. Combine like terms when possible. Six times a number added to \(-4,\) subtracted from twice the sum of three times the number and 4 (Hint: Twice means two times.)

Write a numerical expression for each phrase and simplify. \(20 \%\) of the product of \(-5\) and 6

A pilot announces to the passengers that the current altitude of their plane is \(34,000\) ft. Because of turbulence, the pilot is forced to descend \(2100 \mathrm{ft}\). Write the new altitude as a signed number.

Evaluate each expression for \(x=6, y=-4,\) and \(a=3\) $$ (5 x-2 y)(-2 a) $$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

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.