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Chapter 2: Problem 40

Convert to percent notation. $$ \frac{3}{4} $$

Short Answer

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Step by step solution

01

Convert Fraction to Decimal

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For \( \frac{3}{4} \), divide 3 by 4 to get 0.75.
02

Convert Decimal to Percent

To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%). Multiply 0.75 by 100 to get 75%.

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Key Concepts

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

fraction to decimal
To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number). This is because the fraction line actually represents division. If we take the fraction \(\frac{3}{4}\), it means we need to divide 3 by 4.
When we divide 3 by 4, we get 0.75. So, \(\frac{3}{4}\) is equal to 0.75 in decimal form.
Remember: anytime you have a fraction, you can always find its decimal form by performing this division.
decimal to percent
Converting a decimal to a percent is a straightforward process. You multiply the decimal number by 100 and then add a percent symbol (%) at the end.
Let's take our decimal result from the previous step, which is 0.75. To convert 0.75 to a percent, we simply multiply it by 100:
\ 0.75 \times 100 = 75 \
So, 0.75 turns into 75%.
This means that \(\frac{3}{4}\) is equivalent to 75%.
numerator and denominator
Understanding the terms numerator and denominator is crucial when working with fractions. The numerator is the top part of the fraction, which represents how many parts we have. The denominator is the bottom part, indicating into how many equal parts the whole is divided.
For example, in the fraction \(\frac{3}{4}\), 3 is the numerator, and 4 is the denominator.
So, this fraction tells us that we have 3 out of 4 equal parts.
Whenever you see a fraction, always remember it鈥檚 a way of showing division between these two parts.

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Most popular questions from this chapter

Solve using the addition and multiplication principles. $$ \frac{2}{3}\left(\frac{7}{8}-4 x\right)-\frac{5}{8}<\frac{3}{8} $$

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