# Convert Decimals To Fractions Worksheet

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To convert decimals to fractions, write the decimal number as a fraction using its place value. After that, divide the fraction's numerator and denominator by its greatest common divisor (GCD) to make it simpler. By using this technique, the simplified fraction will appropriately represent the decimal.

For example, 0.75 becomes \frac{75}{100}, after solving it \frac{3}{4} will be the result.

Algebra 1
Algebra Foundations

## How Will This Worksheet on “Convert Decimals to Fractions” Benefit Your Student's Learning?

• Strengthens the understanding of the relationship between fractions and decimals.
• Improves calculation accuracy and problem-solving skills.
• Prepares students for real-world applications in finance and measurement.
• Builds confidence in handling mathematical concepts.

## How to Convert Decimals to Fractions?

• Count the number of digits after the decimal point.
• Write the decimal as a fraction with the decimal number as the numerator.
• Use a denominator of 1 followed by zeros equal to the number of decimal places.
• Simplify the fraction by dividing both parts by their GCD.

## Solved Example

Q. Write $0.78$ as a fraction.$\newline$_____
Solution:
1. Understand the decimal: Understand the decimal. $0.78$ means $78$ hundredths, or $\frac{78}{100}$.
2. Write the fraction: Write the fraction. $0.78 = \frac{78}{100}$
3. Simplify the fraction: Simplify the fraction.$\newline$Both the numerator and the denominator are divisible by $2$.$\newline$$78 \div 2 = 39$$\newline$$100 \div 2 = 50$$\newline$So, $\frac{78}{100}$ simplifies to $\frac{39}{50}$.

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