Seventh Grade Math Worksheets - Free Printable

To solve the problem of converting decimals to fractions, we need to follow a systematic approach. Here's how we can convert each decimal to its fractional form:

Step-by-Step Solution:

1. Understand the Place Value:
- Each digit in a decimal number represents a fraction based on its place value (tenths, hundredths, thousandths, etc.).

2. Write the Decimal as a Fraction:
- The numerator is the decimal number without the decimal point.
- The denominator is a power of 10 corresponding to the place value of the last digit.

3. Simplify the Fraction:
- Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Converting Each Decimal:

#### 1. 0.8
- Numerator: 8
- Denominator: 10 (since 0.8 is in the tenths place)
- Fraction: \( \frac{8}{10} \)
- Simplify: \( \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \)

#### 2. 1.24
- Numerator: 124
- Denominator: 100 (since 0.24 is in the hundredths place)
- Fraction: \( \frac{124}{100} \)
- Simplify: \( \frac{124 \div 4}{100 \div 4} = \frac{31}{25} \)

#### 3. 0.6
- Numerator: 6
- Denominator: 10 (since 0.6 is in the tenths place)
- Fraction: \( \frac{6}{10} \)
- Simplify: \( \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \)

#### 4. 0.89
- Numerator: 89
- Denominator: 100 (since 0.89 is in the hundredths place)
- Fraction: \( \frac{89}{100} \)
- Simplify: Already in simplest form.

#### 5. 13.7
- Numerator: 137
- Denominator: 10 (since 0.7 is in the tenths place)
- Fraction: \( \frac{137}{10} \)
- Simplify: Already in simplest form.

#### 6. 20.8
- Numerator: 208
- Denominator: 10 (since 0.8 is in the tenths place)
- Fraction: \( \frac{208}{10} \)
- Simplify: \( \frac{208 \div 2}{10 \div 2} = \frac{104}{5} \)

#### 7. 0.67
- Numerator: 67
- Denominator: 100 (since 0.67 is in the hundredths place)
- Fraction: \( \frac{67}{100} \)
- Simplify: Already in simplest form.

#### 8. 300.2
- Numerator: 3002
- Denominator: 10 (since 0.2 is in the tenths place)
- Fraction: \( \frac{3002}{10} \)
- Simplify: Already in simplest form.

#### 9. 9.61
- Numerator: 961
- Denominator: 100 (since 0.61 is in the hundredths place)
- Fraction: \( \frac{961}{100} \)
- Simplify: Already in simplest form.

#### 10. 80.6
- Numerator: 806
- Denominator: 10 (since 0.6 is in the tenths place)
- Fraction: \( \frac{806}{10} \)
- Simplify: \( \frac{806 \div 2}{10 \div 2} = \frac{403}{5} \)

#### 11. 0.54
- Numerator: 54
- Denominator: 100 (since 0.54 is in the hundredths place)
- Fraction: \( \frac{54}{100} \)
- Simplify: \( \frac{54 \div 2}{100 \div 2} = \frac{27}{50} \)

#### 12. 12.89
- Numerator: 1289
- Denominator: 100 (since 0.89 is in the hundredths place)
- Fraction: \( \frac{1289}{100} \)
- Simplify: Already in simplest form.

Final Answers:

\[
\begin{aligned}
&0.8 = \frac{4}{5} \\
&1.24 = \frac{31}{25} \\
&0.6 = \frac{3}{5} \\
&0.89 = \frac{89}{100} \\
&13.7 = \frac{137}{10} \\
&20.8 = \frac{104}{5} \\
&0.67 = \frac{67}{100} \\
&300.2 = \frac{3002}{10} \\
&9.61 = \frac{961}{100} \\
&80.6 = \frac{403}{5} \\
&0.54 = \frac{27}{50} \\
&12.89 = \frac{1289}{100}
\end{aligned}
\]

Boxed Final Answer:

\[
\boxed{
\begin{aligned}
&0.8 = \frac{4}{5} \\
&1.24 = \frac{31}{25} \\
&0.6 = \frac{3}{5} \\
&0.89 = \frac{89}{100} \\
&13.7 = \frac{137}{10} \\
&20.8 = \frac{104}{5} \\
&0.67 = \frac{67}{100} \\
&300.2 = \frac{3002}{10} \\
&9.61 = \frac{961}{100} \\
&80.6 = \frac{403}{5} \\
&0.54 = \frac{27}{50} \\
&12.89 = \frac{1289}{100}
\end{aligned}
}
\]