/*! 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 38 Find fraction notation. Simplify... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 38

Find fraction notation. Simplify. $$ 55 \% $$

Short Answer

Expert verified
The simplified fraction is \(\frac{11}{20}\).

Step by step solution

01

Convert percentage to fraction

To convert 55% to a fraction, write it as \(\frac{55}{100}\).
02

Simplify the fraction

Find the greatest common divisor (GCD) of 55 and 100. The GCD of 55 and 100 is 5. Divide both the numerator and the denominator by 5. So, \(\frac{55 \div 5}{100 \div 5} = \frac{11}{20}\).

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.

percent to fraction conversion
Understanding how to convert a percentage to a fraction is a fundamental math skill. A percentage represents a number out of 100. For example, 55% means 55 out of 100. To convert a percentage to a fraction, you simply write the percentage number over 100. So, 55% becomes \(\frac{55}{100}\). This fraction can often be simplified, which means finding an equivalent fraction that is easier to work with.
greatest common divisor
Simplifying a fraction involves dividing both the numerator (top number) and the denominator (bottom number) by the greatest common divisor (GCD). The GCD is the largest number that can evenly divide both numbers.
For our fraction \(\frac{55}{100}\), we need to find the GCD of 55 and 100.
First, list the factors of each number:
  • Factors of 55: 1, 5, 11, 55
  • Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The largest common factor is 5. So, the GCD of 55 and 100 is 5. By dividing both the numerator and the denominator by 5, we can simplify the fraction:
\(\frac{55 \div 5}{100 \div 5} = \frac{11}{20}\).
fraction notation
Fraction notation is a way of expressing numbers that are not whole. It uses two numbers separated by a slash. The top number is called the numerator, and the bottom number is called the denominator. For example, in the fraction \(\frac{55}{100}\), 55 is the numerator and 100 is the denominator.
When you simplify a fraction, you are looking for the equivalent fraction where both the numerator and the denominator cannot be divided further by the same number except 1.
Fractions are simplified by dividing both parts by their GCD.

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

For a party of 8 or more, some restaurants add an \(18 \%\) tip to the bill. What is the total amount charged for a party of 10 if the cost of the meal, without tip, is $$\$ 195 ?$$

Find percent notation. $$ 0.87 $$

Find percent notation. $$ 0.024 $$

Find decimal notation. $$ 59.01 \% $$

Solve. $$ \frac{67}{9} $$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

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.