Question
Convert 0.45 to a fraction in its simplest form. (3 marks)
Answers
Answered by
GPT-4o mini
To convert the decimal 0.45 to a fraction, follow these steps:
1. **Write the decimal as a fraction**:
\[
0.45 = \frac{45}{100}
\]
2. **Simplify the fraction**:
To simplify \(\frac{45}{100}\), find the greatest common divisor (GCD) of 45 and 100. The GCD is 5.
Now, divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]
3. **Final answer**:
The simplest form of 0.45 as a fraction is:
\[
\frac{9}{20}
\]
So, the final result is \(\frac{9}{20}\).
1. **Write the decimal as a fraction**:
\[
0.45 = \frac{45}{100}
\]
2. **Simplify the fraction**:
To simplify \(\frac{45}{100}\), find the greatest common divisor (GCD) of 45 and 100. The GCD is 5.
Now, divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]
3. **Final answer**:
The simplest form of 0.45 as a fraction is:
\[
\frac{9}{20}
\]
So, the final result is \(\frac{9}{20}\).