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Answer :
To find ratios that are equivalent to the given ratio [tex]\(\frac{6}{5}\)[/tex], we need to multiply both the numerator and the denominator of the original ratio by the same number. This will create ratios that are equivalent to the original one.
Here's how we can find three equivalent ratios:
1. First Equivalent Ratio:
- Start with the original ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 2.
- Calculation:
[tex]\[
\frac{6 \times 2}{5 \times 2} = \frac{12}{10}
\][/tex]
- The first equivalent ratio is [tex]\(\frac{12}{10}\)[/tex].
2. Second Equivalent Ratio:
- Again, start with the ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 3.
- Calculation:
[tex]\[
\frac{6 \times 3}{5 \times 3} = \frac{18}{15}
\][/tex]
- The second equivalent ratio is [tex]\(\frac{18}{15}\)[/tex].
3. Third Equivalent Ratio:
- Once more, use the original ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 4.
- Calculation:
[tex]\[
\frac{6 \times 4}{5 \times 4} = \frac{24}{20}
\][/tex]
- The third equivalent ratio is [tex]\(\frac{24}{20}\)[/tex].
So, the three ratios that are equivalent to [tex]\(\frac{6}{5}\)[/tex] are [tex]\(\frac{12}{10}\)[/tex], [tex]\(\frac{18}{15}\)[/tex], and [tex]\(\frac{24}{20}\)[/tex].
Here's how we can find three equivalent ratios:
1. First Equivalent Ratio:
- Start with the original ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 2.
- Calculation:
[tex]\[
\frac{6 \times 2}{5 \times 2} = \frac{12}{10}
\][/tex]
- The first equivalent ratio is [tex]\(\frac{12}{10}\)[/tex].
2. Second Equivalent Ratio:
- Again, start with the ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 3.
- Calculation:
[tex]\[
\frac{6 \times 3}{5 \times 3} = \frac{18}{15}
\][/tex]
- The second equivalent ratio is [tex]\(\frac{18}{15}\)[/tex].
3. Third Equivalent Ratio:
- Once more, use the original ratio [tex]\(\frac{6}{5}\)[/tex].
- Multiply both the numerator and the denominator by 4.
- Calculation:
[tex]\[
\frac{6 \times 4}{5 \times 4} = \frac{24}{20}
\][/tex]
- The third equivalent ratio is [tex]\(\frac{24}{20}\)[/tex].
So, the three ratios that are equivalent to [tex]\(\frac{6}{5}\)[/tex] are [tex]\(\frac{12}{10}\)[/tex], [tex]\(\frac{18}{15}\)[/tex], and [tex]\(\frac{24}{20}\)[/tex].
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