/*! 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 3 To convert a positive mixed nu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 3

To convert a positive mixed number to an improper fraction, multiply the whole number part by the denominator and add the numerator. The result is the numerator of the improper fraction; the denominator remains unchanged.

Short Answer

Expert verified
Question: Convert the given positive mixed number to an improper fraction: 3 2/5 Answer: To convert the mixed number 3 2/5 to an improper fraction, follow these steps: Step 1: Identify the whole number, numerator, and denominator In the given mixed number, the whole number (a) = 3, numerator (b) = 2, and denominator (c) = 5. Step 2: Multiply the whole number by the denominator Calculate a * c: 3 * 5 = 15 Step 3: Add the numerator to the result from Step 2 Calculate (a * c) + b: 15 + 2 = 17 Step 4: Write the improper fraction The improper fraction is (17/5) using the new numerator and the unchanged denominator: 17 / 5.

Step by step solution

01

Identify the whole number, numerator, and denominator

First, we need to identify the whole number, numerator, and denominator in the given positive mixed number. Let's say the mixed number is in the form a b/c, where 'a' is the whole number, 'b' is the numerator, and 'c' is the denominator.
02

Multiply the whole number by the denominator

Next, we need to multiply the whole number (a) by the denominator (c). The result will be used in the next step. So the calculation will be: a * c
03

Add the numerator to the result from Step 2

Now, we need to add the numerator (b) to the result obtained from multiplying the whole number by the denominator in Step 2. The sum will become the new numerator for our improper fraction. So the calculation will be: (a * c) + b
04

Write the improper fraction

Finally, we will write the improper fraction with the new numerator obtained in Step 3 and the unchanged denominator (c). So the improper fraction will be: [(a * c) + b] / c

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!

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

Calculate using the order of operations. Check the results using a calculator. $$-2.6 \cdot 0.01+(-0.01) \cdot(-8.3)$$
Perform the indicated operation. \(-5 \frac{2}{5}+\left(-6 \frac{4}{9}\right)\)
You have just purchased a new home. The town's assessed value of your home (which is usually much lower than the purchase price) is \(\$ 84,500 .\) For every \(\$ 1000\) of assessed value, you will pay \(\$ 16.34\) in taxes. How much do you pay in taxes?
a. The Canadian dollar was recently worth \(\$ 0.9549 .\) Round this value to the nearest cent. b. Round the value of the Canadian dollar to the nearest dime.
You have been following your stock investment over the past 4 months. Your friend tells you that his stock's value has doubled in the past 4 months. You know that your stock did better than that. Without telling your friend how much your original investment was, you would like to do a little boasting. The following table shows your stock's activity each month for 4 months. (TABLE CAN NOT COPY) a. Represent your original investment by \(x\) dollars and write an algebraic expression to represent the value of your stock after the first month. b. Use the result from part a to determine an expression for the value at the end of the second month. Simplify the expression if possible. Continue this procedure until you determine the value of your stock at the end of the fourth month. c. Explain to your friend what has happened to the value of your stock over 4 months. d. Instead of simplifying after each step, write a single algebraic expression that represents the changes over the 4 -month period. e. Simplify the expression in part d. How does the simplified algebraic expression compare with the result in part b? f. Your stock's value was 4678.75 dollar four months ago. What is your stock's value today?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

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.