2. Find the percentage of the following ratios and fractions: a. 17:20 b. 6 10 c. 9 40 d. 1:8 

To find the percentage of a given ratio or fraction, we divide the numerator by the denominator and multiply by 100. Let's go through each of the provided problems.

### a. \( 17:20 \)
Convert the ratio to a fraction: \( \frac{17}{20} \)
\[
\text{Percentage} = \left( \frac{17}{20} \right) \times 100 = 85\%
\]

### b. \( \frac{6}{10} \)
This is already a fraction.
\[
\text{Percentage} = \left( \frac{6}{10} \right) \times 100 = 60\%
\]

### c. \( \frac{9}{40} \)
This is already a fraction.
\[
\text{Percentage} = \left( \frac{9}{40} \right) \times 100 = 22.5\%
\]

### d. \( 1:8 \)
Convert the ratio to a fraction: \( \frac{1}{8} \)
\[
\text{Percentage} = \left( \frac{1}{8} \right) \times 100 = 12.5\%
\]

### Summary:
- a. \( 17:20 = 85\% \)
- b. \( \frac{6}{10} = 60\% \)
- c. \( \frac{9}{40} = 22.5\% \)
- d. \( 1:8 = 12.5\% \)

Would you like further details or clarification on any of these? Here are some related questions:

1. How do you convert percentages back to fractions?
2. What is the percentage of \( \frac{3}{5} \)?
3. How do you handle ratios with decimals?
4. How do you find the percentage of a large fraction like \( \frac{123}{500} \)?
5. Can you explain how percentages relate to proportions?

**Tip:** To convert any ratio or fraction to a percentage, remember to divide and multiply by 100.

2. Find the percentage of the following ratios and fractions: a. 17:20 b. 6 10 c. 9 40 d. 1:8

Learn how to convert the ratios 17:20 and 1:8, as well as fractions 6/10 and 9/40, to percentages. This guide covers essential mathematical concepts like ratios, fractions, and percentages. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation