Answer :
To express [tex]\(\left(\frac{13}{15} - \frac{7}{10}\right)\)[/tex] as a percentage, follow these steps:
1. Find a Common Denominator:
The fractions we are dealing with are [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{7}{10}\)[/tex]. To subtract them, we need a common denominator. The least common multiple of 15 and 10 is 30.
2. Convert Fractions:
- Convert [tex]\(\frac{13}{15}\)[/tex] to a fraction with a denominator of 30:
[tex]\[
\frac{13}{15} = \frac{13 \times 2}{15 \times 2} = \frac{26}{30}
\][/tex]
- Convert [tex]\(\frac{7}{10}\)[/tex] to a fraction with a denominator of 30:
[tex]\[
\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}
\][/tex]
3. Subtract the Fractions:
Now subtract the two converted fractions:
[tex]\[
\frac{26}{30} - \frac{21}{30} = \frac{26 - 21}{30} = \frac{5}{30}
\][/tex]
4. Simplify the Result:
Simplify [tex]\(\frac{5}{30}\)[/tex] by dividing both the numerator and denominator by 5:
[tex]\[
\frac{5}{30} = \frac{5 \div 5}{30 \div 5} = \frac{1}{6}
\][/tex]
5. Convert to Percentage:
To convert the fraction [tex]\(\frac{1}{6}\)[/tex] to a percentage, multiply by 100:
[tex]\[
\frac{1}{6} \times 100 = 16.67\%
\][/tex]
So, [tex]\(\left(\frac{13}{15} - \frac{7}{10}\right)\)[/tex] expressed as a percentage is approximately [tex]\(16.67\%\)[/tex].
1. Find a Common Denominator:
The fractions we are dealing with are [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{7}{10}\)[/tex]. To subtract them, we need a common denominator. The least common multiple of 15 and 10 is 30.
2. Convert Fractions:
- Convert [tex]\(\frac{13}{15}\)[/tex] to a fraction with a denominator of 30:
[tex]\[
\frac{13}{15} = \frac{13 \times 2}{15 \times 2} = \frac{26}{30}
\][/tex]
- Convert [tex]\(\frac{7}{10}\)[/tex] to a fraction with a denominator of 30:
[tex]\[
\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}
\][/tex]
3. Subtract the Fractions:
Now subtract the two converted fractions:
[tex]\[
\frac{26}{30} - \frac{21}{30} = \frac{26 - 21}{30} = \frac{5}{30}
\][/tex]
4. Simplify the Result:
Simplify [tex]\(\frac{5}{30}\)[/tex] by dividing both the numerator and denominator by 5:
[tex]\[
\frac{5}{30} = \frac{5 \div 5}{30 \div 5} = \frac{1}{6}
\][/tex]
5. Convert to Percentage:
To convert the fraction [tex]\(\frac{1}{6}\)[/tex] to a percentage, multiply by 100:
[tex]\[
\frac{1}{6} \times 100 = 16.67\%
\][/tex]
So, [tex]\(\left(\frac{13}{15} - \frac{7}{10}\right)\)[/tex] expressed as a percentage is approximately [tex]\(16.67\%\)[/tex].
