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[tex]\frac{13}{15} + \frac{14}{15} =[/tex]

Answer :

Certainly! Let's work through the question step-by-step:

1. Identify the Fractions: We have two fractions, [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex].

2. Check the Denominators: The denominators of both fractions are the same, which is 15. This means we can add the numerators directly.

3. Add the Numerators: Add the numerators of the two fractions:
[tex]\[
13 + 14 = 27
\][/tex]

4. Form the New Fraction: Place the sum of the numerators over the common denominator to get the new fraction:
[tex]\[
\frac{27}{15}
\][/tex]

5. Simplify the Fraction (Optional): To simplify [tex]\(\frac{27}{15}\)[/tex]:
- Find the greatest common divisor (GCD) of 27 and 15, which is 3.
- Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{27 \div 3}{15 \div 3} = \frac{9}{5}
\][/tex]

6. Convert to Mixed Number (Optional): If you want to express [tex]\(\frac{9}{5}\)[/tex] as a mixed number:
- Divide 9 by 5. The quotient is 1, and the remainder is 4.
- So, [tex]\(\frac{9}{5} = 1 \frac{4}{5}\)[/tex].

7. Convert to Decimal: The fraction [tex]\(\frac{27}{15}\)[/tex] can also be expressed as a decimal by performing the division:
[tex]\[
27 ÷ 15 = 1.8
\][/tex]

So, the sum of [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex] is [tex]\(\frac{27}{15}\)[/tex], which simplifies to [tex]\(\frac{9}{5}\)[/tex] or as a decimal, [tex]\(1.8\)[/tex].

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