College

What is [tex]\frac{27}{30}[/tex] as a decimal?

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[tex]\square[/tex]

Answer :

To convert the fraction
[tex]$$
\frac{27}{30}
$$[/tex]
to a decimal, we can first simplify the fraction by finding a common factor for the numerator and the denominator.

1. Notice that both 27 and 30 are divisible by 3. Divide both the numerator and the denominator by 3:

[tex]$$
\frac{27}{30} = \frac{27 \div 3}{30 \div 3} = \frac{9}{10}.
$$[/tex]

2. The fraction
[tex]$$
\frac{9}{10}
$$[/tex]
represents 9 parts out of 10, which is equivalent to the decimal 0.9 because dividing by 10 simply moves the decimal point one place to the left.

Thus, the fraction
[tex]$$
\frac{27}{30}
$$[/tex]
as a decimal is
[tex]$$
0.9.
$$[/tex]