/*! 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 92 Write percent notation. $$ \... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 92

Write percent notation. $$ \frac{54}{999} $$

Short Answer

Expert verified
5.41\%

Step by step solution

01

Convert Fraction to Decimal

First, convert the fraction \( \frac{54}{999} \) to a decimal by dividing the numerator by the denominator. \[ \frac{54}{999} \approx 0.054054054 \ldots \]
02

Multiply by 100 to Get Percent

Next, multiply the decimal obtained from Step 1 by 100 to convert it to percent notation. \[ 0.054054054 \ldots \times 100 \approx 5.4054054\% \]
03

Round if Necessary

Depending on the desired precision, one might round the percentage. Typically, percentages are rounded to two decimal places. In this case, we can round it to approximately \(5.41\% \).

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.

Numerator
In any fraction, the numerator is the top number. It shows how many parts of the whole are being considered. For example, in the fraction \( \frac{54}{999} \), the numerator is 54. When converting a fraction to a decimal, we start with the numerator. We divide it by the denominator. Understanding this can help in many areas of math, including conversion of fractions to different formats like decimals or percentages.
Denominator
The denominator is the bottom number in a fraction. It tells us into how many equal parts the whole is divided. For instance, in the fraction \( \frac{54}{999} \), 999 is the denominator. To convert a fraction to a decimal, divide the numerator by the denominator. This division tells us what part of the whole the numerator represents. In other words, the denominator helps us understand the size of each part compared to the whole.
Percentage
A percentage is a way of expressing a number as a fraction of 100. To convert a decimal to a percentage, multiply the decimal by 100. For example, after converting \( \frac{54}{999} \) to a decimal (0.054), we multiply by 100 to get approximately 5.405. This means our original fraction represents about 5.41% when rounded. Percentages help make comparisons easier by standardizing values out of 100, making them a common tool in everyday calculations and statistics.
Rounding
Rounding means adjusting a number to make it simpler but keeping it close in value to what it was. In our example, the decimal 5.405 can be rounded to two decimal places, 5.41. This often makes the number easier to understand. Rounding is crucial in converting decimals to percentages, as exact values may be too detailed or unnecessary. Standard practice is to round percentages to two decimal places, unless more precision is required.

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 $$\$ 195 ?$$

Solve. The sales tax is \(\$ 30\) on the purchase of a diamond ring that sells for \(\$ 750\). What is the sales tax rate?

Find the LCM of 32 and 50 .

A 300-lb weight set retails for $$\$ 199.95 .$$ For its grand opening, a sporting goods store reduced the price to $$\$ 154.95 .$$ What is the percent decrease?

A coupon allows a couple to have \(\$ 10\) subtracted from their dinner bill. Before subtracting \(\$ 10\), however, the restaurant adds a tip of \(20 \%\). If the couple is presented with a bill for \(\$ 40.40\), how much would the dinner (without tip) have cost without the coupon?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics 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.