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Answer :
To solve the problem [tex]\(\frac{4}{15} + \frac{13}{15} - \frac{7}{15}\)[/tex], we follow these steps:
1. Ensure Common Denominator: All fractions have the same denominator, which is 15. This means we can directly add and subtract the numerators.
2. Add the First Two Fractions:
[tex]\[
\frac{4}{15} + \frac{13}{15} = \frac{4 + 13}{15} = \frac{17}{15}
\][/tex]
3. Subtract the Third Fraction:
[tex]\[
\frac{17}{15} - \frac{7}{15} = \frac{17 - 7}{15} = \frac{10}{15}
\][/tex]
4. Simplify the Fraction:
The numerator and the denominator can both be divided by their greatest common divisor, which is 5:
[tex]\[
\frac{10}{15} = \frac{10 \div 5}{15 \div 5} = \frac{2}{3}
\][/tex]
Therefore, the simplified answer is [tex]\(\frac{2}{3}\)[/tex].
1. Ensure Common Denominator: All fractions have the same denominator, which is 15. This means we can directly add and subtract the numerators.
2. Add the First Two Fractions:
[tex]\[
\frac{4}{15} + \frac{13}{15} = \frac{4 + 13}{15} = \frac{17}{15}
\][/tex]
3. Subtract the Third Fraction:
[tex]\[
\frac{17}{15} - \frac{7}{15} = \frac{17 - 7}{15} = \frac{10}{15}
\][/tex]
4. Simplify the Fraction:
The numerator and the denominator can both be divided by their greatest common divisor, which is 5:
[tex]\[
\frac{10}{15} = \frac{10 \div 5}{15 \div 5} = \frac{2}{3}
\][/tex]
Therefore, the simplified answer is [tex]\(\frac{2}{3}\)[/tex].
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