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Answer :
To solve the problem [tex]\(\frac{13}{15} + \frac{14}{15}\)[/tex], we can follow these steps:
1. Identify the Denominators: Both fractions have the same denominator, which is 15.
2. Add the Numerators: Since the denominators are the same, we can add the numerators directly:
[tex]\[
13 + 14 = 27
\][/tex]
3. Keep the Denominator the Same: The denominator remains 15.
4. Form the Fraction: The sum of the fractions is:
[tex]\[
\frac{27}{15}
\][/tex]
5. Simplify the Fraction (if needed): [tex]\(\frac{27}{15}\)[/tex] can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[
\frac{27 \div 3}{15 \div 3} = \frac{9}{5}
\][/tex]
6. Convert to a Mixed Number (if preferred): [tex]\(\frac{9}{5}\)[/tex] can also be expressed as a mixed number:
[tex]\[
1 \frac{4}{5}
\][/tex]
7. Convert to Decimal: For another representation, divide the numerator by the denominator:
[tex]\[
27 \div 15 = 1.8
\][/tex]
So, [tex]\(\frac{13}{15} + \frac{14}{15} = 1.8\)[/tex] in decimal form.
1. Identify the Denominators: Both fractions have the same denominator, which is 15.
2. Add the Numerators: Since the denominators are the same, we can add the numerators directly:
[tex]\[
13 + 14 = 27
\][/tex]
3. Keep the Denominator the Same: The denominator remains 15.
4. Form the Fraction: The sum of the fractions is:
[tex]\[
\frac{27}{15}
\][/tex]
5. Simplify the Fraction (if needed): [tex]\(\frac{27}{15}\)[/tex] can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[
\frac{27 \div 3}{15 \div 3} = \frac{9}{5}
\][/tex]
6. Convert to a Mixed Number (if preferred): [tex]\(\frac{9}{5}\)[/tex] can also be expressed as a mixed number:
[tex]\[
1 \frac{4}{5}
\][/tex]
7. Convert to Decimal: For another representation, divide the numerator by the denominator:
[tex]\[
27 \div 15 = 1.8
\][/tex]
So, [tex]\(\frac{13}{15} + \frac{14}{15} = 1.8\)[/tex] in decimal form.
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