College

Compute the sum indicated and simplify your answer.

[tex]\frac{1}{30} + \frac{27}{30}[/tex]

Answer :

To find the sum of the fractions [tex]\(\frac{1}{30}\)[/tex] and [tex]\(\frac{27}{30}\)[/tex], follow these simple steps:

1. Align the Fractions:
Since both fractions already have the same denominator (30), we can directly add the numerators together.

2. Add the Numerators:
Compute [tex]\(1 + 27\)[/tex]. This equals 28.

3. Form the New Fraction:
Place the sum of the numerators over the common denominator:
[tex]\[
\frac{1}{30} + \frac{27}{30} = \frac{28}{30}
\][/tex]

4. Simplify the Fraction if Possible:
Check if the fraction [tex]\(\frac{28}{30}\)[/tex] can be simplified by finding the greatest common divisor (GCD) of 28 and 30.
- The GCD of 28 and 30 is 2.
- Divide both the numerator and the denominator by 2:
[tex]\[
\frac{28 \div 2}{30 \div 2} = \frac{14}{15}
\][/tex]

So, the simplified form of the sum [tex]\(\frac{1}{30} + \frac{27}{30}\)[/tex] is [tex]\(\frac{14}{15}\)[/tex].

If you prefer, you can also convert [tex]\(\frac{14}{15}\)[/tex] to a decimal:
- Divide 14 by 15, which results in approximately 0.9333.

Thus, the sum of [tex]\(\frac{1}{30} + \frac{27}{30}\)[/tex] is [tex]\(\frac{14}{15}\)[/tex] or approximately 0.9333.

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