/*! 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 476 Add or subtract. $$ 1-\frac{... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 476

Add or subtract. $$ 1-\frac{3}{10} $$

Short Answer

Expert verified
\( \frac{7}{10} \)

Step by step solution

01

Express Subtraction

Identify the operation. The problem requires us to subtract \( \frac{3}{10} \) from 1.
02

Convert 1 to a Fraction

To easily subtract the fractions, convert 1 to a fraction with the same denominator as \( \frac{3}{10} \). \[ 1 = \frac{10}{10} \]
03

Subtract the Fractions

Subtract \( \frac{3}{10} \) from \( \frac{10}{10} \). Use the formula for subtracting fractions with a common denominator: \[ \frac{a}{c} - \frac{b}{c} = \frac{a-b}{c} \] \[ \frac{10}{10} - \frac{3}{10} = \frac{10-3}{10} = \frac{7}{10} \]

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.

subtracting fractions
When we subtract fractions, the first step is to ensure the fractions have a common denominator. This makes it easier to perform the subtraction.
In our exercise, we need to subtract \( \frac{3}{10} \) from 1. To do this, we first convert 1 into a fraction with the same denominator as \( \frac{3}{10} \).
Once the denominators are the same, we can subtract the numerators while keeping the common denominator the same.
Let's break it down:
\ \frac{10}{10} - \frac{3}{10} = \frac{7}{10} \
As you see, the denominator remains 10, and we simply subtract the numerators (10 - 3) to get 7.
Simple, isn't it?
common denominators
A common denominator is crucial when adding or subtracting fractions. Without it, the process becomes complicated.
The denominator is the bottom part of a fraction and represents the number of total equal parts.
Finding a common denominator allows you to combine fractions as if they were parts of the same whole.
In our problem, the original number 1 is converted to the fraction \( \frac{10}{10} \). This gives it the same denominator as \( \frac{3}{10} \).
This conversion makes it easier to subtract the two fractions.
Here's why it's important:
  • Simplifies operations
  • Ensures accuracy
  • Makes calculations straightforward

Remember, always look for a common denominator when dealing with fraction operations!
fraction conversion
Fraction conversion is a technique used to change numbers into fractions with a specific denominator.
For our problem, we had to convert the number 1 into a fraction with a denominator of 10.
Converting 1 to \( \frac{10}{10} \) helped us to match the denominator of \( \frac{3}{10} \).
Here's how we did it:
  • Identify the required denominator (in this case, 10)
  • Convert 1 to \( \frac{10}{10} \) since 1 = \( \frac{10}{10} \)

This makes the subtraction simple and clean: \ \frac{10}{10} - \frac{3}{10} = \frac{7}{10} \
Knowing how to convert fractions is a valuable skill for solving many math problems. It gives flexibility in calculations and ensures precision in results.

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

Simplify using the distributive property. $$ 9(5 u+8)+2(u-6) $$

Make the unit conversions. Round to the nearest tenth. Bill is 75 inches tall. Convert his height to centimeters.

Simplify using the distributive property. $$ 10\left(\frac{3}{10} x-\frac{2}{5}\right) $$

Convert the units. Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces.

Solve. One serving of whole grain sandwich bread provides 6 grams of protein. How many milligrams of protein are provided by 7 servings of whole grain sandwich bread?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.