Question
what fractions are equivalent 0.45
Answers
GPT-4o mini
To find fractions that are equivalent to the decimal 0.45, we can express 0.45 as a fraction.
1. Start with the decimal:
\[
0.45 = \frac{45}{100}
\]
2. Next, simplify the fraction by finding the greatest common divisor (GCD) of 45 and 100, which is 5.
3. Divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]
So, \( 0.45 \) is equivalent to \( \frac{9}{20} \).
Further, you can find other equivalent fractions by multiplying both the numerator and the denominator by the same non-zero integer. For example:
- Multiply by 2:
\[
\frac{9 \times 2}{20 \times 2} = \frac{18}{40}
\]
- Multiply by 3:
\[
\frac{9 \times 3}{20 \times 3} = \frac{27}{60}
\]
- Multiply by 4:
\[
\frac{9 \times 4}{20 \times 4} = \frac{36}{80}
\]
Thus, some equivalent fractions for \( 0.45 \) are \( \frac{9}{20} \), \( \frac{18}{40} \), \( \frac{27}{60} \), and \( \frac{36}{80} \). You can generate infinitely many equivalent fractions by multiplying both the numerator and the denominator by any integer.
1. Start with the decimal:
\[
0.45 = \frac{45}{100}
\]
2. Next, simplify the fraction by finding the greatest common divisor (GCD) of 45 and 100, which is 5.
3. Divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]
So, \( 0.45 \) is equivalent to \( \frac{9}{20} \).
Further, you can find other equivalent fractions by multiplying both the numerator and the denominator by the same non-zero integer. For example:
- Multiply by 2:
\[
\frac{9 \times 2}{20 \times 2} = \frac{18}{40}
\]
- Multiply by 3:
\[
\frac{9 \times 3}{20 \times 3} = \frac{27}{60}
\]
- Multiply by 4:
\[
\frac{9 \times 4}{20 \times 4} = \frac{36}{80}
\]
Thus, some equivalent fractions for \( 0.45 \) are \( \frac{9}{20} \), \( \frac{18}{40} \), \( \frac{27}{60} \), and \( \frac{36}{80} \). You can generate infinitely many equivalent fractions by multiplying both the numerator and the denominator by any integer.