Convert 45.6 % into a fraction

MTg3MjAz.187203

Question 2Answer

a.

46510004651000


b.

5712557125


c.

22852285

d.

46100


Let's first convert \( 45.6\% \) into a fraction:

### Step 1: Express as a fraction
Since \( 45.6\% \) means \( 45.6 \) out of \( 100 \), we can write it as:
\[
\frac{45.6}{100}
\]

### Step 2: Eliminate the decimal
Multiply both the numerator and denominator by 10 to eliminate the decimal:
\[
\frac{45.6 \times 10}{100 \times 10} = \frac{456}{1000}
\]

### Step 3: Simplify the fraction
Now, simplify \( \frac{456}{1000} \). The greatest common divisor (GCD) of 456 and 1000 is 8:
\[
\frac{456 \div 8}{1000 \div 8} = \frac{57}{125}
\]

Thus, \( 45.6\% \) as a fraction is \( \frac{57}{125} \).

The correct answer is:

**b. \( \frac{57}{125} \)**

Would you like any more details on the steps, or do you have any other questions?

---

Here are 8 related questions:
1. How do you convert any percentage into a fraction?
2. How do you find the greatest common divisor (GCD) of two numbers?
3. How do you simplify a fraction step by step?
4. Can you convert \( 37.5\% \) into a fraction?
5. What is the process for converting a fraction back into a percentage?
6. How do you handle percentages with more than one decimal place?
7. How do you convert repeating decimal percentages into fractions?
8. Why is simplifying fractions important in real-world calculations?

**Tip**: Always check if you can simplify a fraction further by finding the greatest common divisor!

Learn how to convert 45.6% into a fraction step-by-step. Understand the concept of percentages, fractions, and decimal conversion. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation