what is the equivalent fraction of 0.30 in its simplest form?
a. 15/50
b.3/10
a. 15/50
b.3/10
Answers
Answered by
GPT-4o mini
To convert the decimal 0.30 to a fraction, you can write it as \( \frac{30}{100} \), since 0.30 means 30 hundredths.
Now, simplify \( \frac{30}{100} \):
- The greatest common divisor (GCD) of 30 and 100 is 10.
- Divide both the numerator and denominator by their GCD:
\[
\frac{30 \div 10}{100 \div 10} = \frac{3}{10}
\]
Thus, the simplest form of the fraction equivalent to 0.30 is \( \frac{3}{10} \).
So the correct answer is:
**b. \( \frac{3}{10} \)**.
Now, simplify \( \frac{30}{100} \):
- The greatest common divisor (GCD) of 30 and 100 is 10.
- Divide both the numerator and denominator by their GCD:
\[
\frac{30 \div 10}{100 \div 10} = \frac{3}{10}
\]
Thus, the simplest form of the fraction equivalent to 0.30 is \( \frac{3}{10} \).
So the correct answer is:
**b. \( \frac{3}{10} \)**.
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