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Chapter 6: Problem 354

In the following exercises, convert each fraction to a percent. $$ \frac{3}{4} $$

Short Answer

Expert verified
75%

Step by step solution

01

Understand the Fraction

The given fraction is \(\frac{3}{4}\). This fraction needs to be converted into a percentage.
02

Convert the Fraction to a Decimal

Divide the numerator (3) by the denominator (4) to get a decimal. \(\frac{3}{4} = 0.75\).
03

Convert the Decimal to a Percentage

Multiply the decimal you obtained by 100 to convert it to a percentage. \((0.75 \times 100 = 75)\).
04

Write the Final Answer

The fraction \(\frac{3}{4}\) converts to 75%.

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Key Concepts

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

Fraction Basics
A fraction represents a part of a whole. It is written in the form \(\frac{a}{b}\), where \('a'\) is the numerator and \('b'\) is the denominator.
The numerator indicates how many parts we have, while the denominator tells us into how many equal parts the whole is divided.
For example, in the fraction \(\frac{3}{4}\), the numerator is 3, and the denominator is 4. This means we have 3 parts out of 4 equal parts.
Decimal Conversion
To convert a fraction to a decimal, we divide the numerator by the denominator.
In the case of \(\frac{3}{4}\), divide 3 by 4. This gives us 0.75.
Decimal conversion helps to make further calculations easier, especially when converting to percentages.
\(\frac{3}{4} = 0.75\)
Percentage Calculation
A percentage represents a fraction out of 100. To convert a decimal to a percentage, we multiply the decimal by 100.
For instance, if our decimal is 0.75, we calculate the percentage as follows: 0.75 \(\times\) 100 = 75%.
This tells us that \(\frac{3}{4}\) is equivalent to 75%.
Step-by-Step Math
Understanding math concepts involves breaking down problems into manageable steps.
Let's use the \(\frac{3}{4}\) to percentage conversion as an example.
  • Step 1: Understand the Fraction. Identify the numerator and the denominator. Here, it's \(\frac{3}{4}\)
  • Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator. \(\frac{3}{4} = 0.75\)
  • Step 3: Convert the decimal to a percentage by multiplying by 100. (0.75 \(\times\) 100 = 75%)
  • Step 4: Write down your answer. \(\frac{3}{4}\) is 75%.
Following these steps provides a clearer understanding of the process, making math less intimidating.

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Most popular questions from this chapter

In the following exercises, solve the percent problem. Solve for a: \(\frac{12}{a}=\frac{-15}{65}\)

In the following exercises, solve the percent problem. Write as a proportion: 4 gallons to 144 miles is the same as 10 gallons to 360 miles.

In the following exercises, find the sale price. Aya bought a pair of shoes that was on sale for \(\$ 30\) off. The original price of the shoes was \(\$ 75 .\)

In the following exercises, find (a) the amount of discount and (b) the sale price. Jarrett bought a tie that was discounted 65\(\%\) from an original price of \(\$ 45\) .

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