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Answer :
Let's match each fraction with its equivalent decimal and percent:
1. Fraction: [tex]\(\frac{5}{8}\)[/tex]
- To convert [tex]\(\frac{5}{8}\)[/tex] into a decimal, divide 5 by 8:
[tex]\[
5 \div 8 = 0.625
\][/tex]
- To convert the decimal 0.625 into a percent, multiply by 100:
[tex]\[
0.625 \times 100 = 62.5\%
\][/tex]
So, [tex]\(\frac{5}{8}\)[/tex] is equivalent to 0.625 and 62.5%.
2. Fraction: [tex]\(6 \frac{1}{4}\)[/tex]
- First, convert the mixed number [tex]\(6 \frac{1}{4}\)[/tex] into an improper fraction:
[tex]\[
6 + \frac{1}{4} = \frac{24}{4} + \frac{1}{4} = \frac{25}{4}
\][/tex]
- To convert [tex]\(6 \frac{1}{4}\)[/tex] into a decimal, divide 25 by 4:
[tex]\[
25 \div 4 = 6.25
\][/tex]
- To convert the decimal 6.25 into a percent, multiply by 100:
[tex]\[
6.25 \times 100 = 625\%
\][/tex]
So, [tex]\(6 \frac{1}{4}\)[/tex] is equivalent to 6.25 and 625%.
3. Fraction: [tex]\(\frac{3}{5}\)[/tex]
- To convert [tex]\(\frac{3}{5}\)[/tex] into a decimal, divide 3 by 5:
[tex]\[
3 \div 5 = 0.6
\][/tex]
- To convert the decimal 0.6 into a percent, multiply by 100:
[tex]\[
0.6 \times 100 = 60\%
\][/tex]
So, [tex]\(\frac{3}{5}\)[/tex] is equivalent to 0.6 and 60%.
In summary, here are the matches:
- [tex]\(\frac{5}{8}\)[/tex] is equivalent to 0.625 and 62.5%
- [tex]\(6 \frac{1}{4}\)[/tex] is equivalent to 6.25 and 625%
- [tex]\(\frac{3}{5}\)[/tex] is equivalent to 0.6 and 60%
1. Fraction: [tex]\(\frac{5}{8}\)[/tex]
- To convert [tex]\(\frac{5}{8}\)[/tex] into a decimal, divide 5 by 8:
[tex]\[
5 \div 8 = 0.625
\][/tex]
- To convert the decimal 0.625 into a percent, multiply by 100:
[tex]\[
0.625 \times 100 = 62.5\%
\][/tex]
So, [tex]\(\frac{5}{8}\)[/tex] is equivalent to 0.625 and 62.5%.
2. Fraction: [tex]\(6 \frac{1}{4}\)[/tex]
- First, convert the mixed number [tex]\(6 \frac{1}{4}\)[/tex] into an improper fraction:
[tex]\[
6 + \frac{1}{4} = \frac{24}{4} + \frac{1}{4} = \frac{25}{4}
\][/tex]
- To convert [tex]\(6 \frac{1}{4}\)[/tex] into a decimal, divide 25 by 4:
[tex]\[
25 \div 4 = 6.25
\][/tex]
- To convert the decimal 6.25 into a percent, multiply by 100:
[tex]\[
6.25 \times 100 = 625\%
\][/tex]
So, [tex]\(6 \frac{1}{4}\)[/tex] is equivalent to 6.25 and 625%.
3. Fraction: [tex]\(\frac{3}{5}\)[/tex]
- To convert [tex]\(\frac{3}{5}\)[/tex] into a decimal, divide 3 by 5:
[tex]\[
3 \div 5 = 0.6
\][/tex]
- To convert the decimal 0.6 into a percent, multiply by 100:
[tex]\[
0.6 \times 100 = 60\%
\][/tex]
So, [tex]\(\frac{3}{5}\)[/tex] is equivalent to 0.6 and 60%.
In summary, here are the matches:
- [tex]\(\frac{5}{8}\)[/tex] is equivalent to 0.625 and 62.5%
- [tex]\(6 \frac{1}{4}\)[/tex] is equivalent to 6.25 and 625%
- [tex]\(\frac{3}{5}\)[/tex] is equivalent to 0.6 and 60%
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