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Chapter 6: Problem 65

In the following exercises, convert each fraction to a percent. $$\frac{1}{4}$$

Short Answer

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Step by step solution

01

Understand the Fraction

The given fraction is \(\frac{1}{4}\). To convert this fraction to a percent, it is necessary to convert it into a decimal first.
02

Convert the Fraction to a Decimal

Divide the numerator by the denominator to get the decimal form. For \(\frac{1}{4}\), divide 1 by 4: \( \frac{1}{4} = 0.25 \).
03

Convert the Decimal to a Percent

To convert the decimal to a percent, multiply the decimal by 100. So, \( 0.25 \times 100 = 25 \).
04

Write the Final Answer

The fraction \(\frac{1}{4}\) is equivalent to 25%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

fractions
Fractions represent parts of a whole. A fraction has a numerator, the top number, and a denominator, the bottom number. For example, in the fraction \(\frac{1}{4}\), 1 is the numerator and 4 is the denominator.
Fractions can be converted into other forms such as decimals and percentages. Converting a fraction involves understanding both its numerator and denominator, and sometimes performing division. Knowing these basics will help in various mathematical calculations and operations.
decimals
Decimals are another way to represent fractions. A decimal is written with a point to separate the whole number from the fractional part.
For example, the fraction \(\frac{1}{4}\) converts to the decimal 0.25. To convert a fraction to a decimal, you divide the numerator by the denominator. Knowing how to work with decimals is essential for many aspects of math, including percentages. You can easily multiply or add decimals, and they are commonly used in financial calculations.
percentages
Percentages are a way of expressing numbers as parts of 100. The word 'percent' means 'per hundred.' To convert a decimal to a percentage, you simply multiply it by 100.
NFor instance, to change 0.25 to a percentage, multiply 0.25 by 100 to get 25%. This means \(\frac{1}{4}\) is equivalent to 25%.
Understanding percentages is crucial for solving various real-world problems, including those involving discounts, interest rates, and statistics.
basic math operations
Basic math operations include addition, subtraction, multiplication, and division. These operations are foundational and are used in more complicated math problems. In the process of converting \(\frac{1}{4}\) to a percent, you mainly perform division and multiplication.
First, divide 1 by 4 to get 0.25. Then, multiply 0.25 by 100 to find that it equals 25%.
Mastering these basic operations will improve your ability to solve complex problems efficiently and accurately.

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