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Chapter 6: Problem 23

Find percent notation. $$ \frac{4}{25} $$

Short Answer

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Step by step solution

01

- Understand the problem

To convert a fraction to percent notation, multiply the fraction by 100.
02

- Multiply the fraction by 100

Multiply both the numerator and the denominator of the fraction by 100. That is, \( \frac{4}{25} \times 100 \)
03

- Simplify the expression

Simplify the expression \( \frac{4}{25} \times 100 = \frac{4 \times 100}{25} = \frac{400}{25} = 16 \)
04

- Write the final answer

Since the fraction \( \frac{4}{25} \) converts to 16 when multiplied by 100, the percent notation is 16%.

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Key Concepts

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

fraction to percent
Fractions are a way to represent parts of a whole. When you convert a fraction to a percent, you express that part as a portion of 100. To do this, multiply the fraction by 100. This helps to visualize how large the fraction is in a familiar form. For example, the fraction \( \frac{4}{25} \) can be converted to a percentage by multiplying it by 100.
converting fractions
Converting fractions involves changing them from one form to another, such as from a fraction to a percent. Here's a structured way to convert a fraction to a percent:
  • Identify the fraction you want to convert. For example, \( \frac{4}{25} \).
  • Understand that converting to percent means finding an equivalent fraction out of 100.
  • Multiply the fraction by 100. This transforms the fraction into a percent representation.
These steps help standardize fractions into percentages, making comparisons easier.
percent calculation
Calculating the percent from a fraction involves some straightforward multiplication and simplification. Follow these steps:
  • Multiply the fraction by 100. For example, take \( \frac{4}{25} \) and multiply both the numerator (4) and the denominator (25) by 100: \( \frac{4}{25} \times 100 \).
  • This gives \( \frac{4 \times 100}{25} = \frac{400}{25} \).
  • Finally, simplify \( \frac{400}{25}\) which equals 16.
This shows the percentage equivalent of the fraction, which in this case is 16%.
basic mathematics
Understanding basic mathematics is essential for converting fractions to percentages. A few key concepts to keep in mind:
  • Multiplication: Used to scale fractions appropriately by 100.
  • Simplification: Necessary to reduce expressions to their simplest form.
  • Equivalency: Recognize that multiplying by 100 transforms the fraction into a more understandable percent format.
These fundamental math skills are crucial for translating fractions into clear, manageable percentages that are easy to interpret.

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Most popular questions from this chapter

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Convert to decimal notation. \(\frac{18}{102}\)

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