College

Reduce the fraction [tex]\frac{27}{30}[/tex] to its lowest terms.

A. [tex]\frac{13.5}{15}[/tex]
B. [tex]\frac{9}{10}[/tex]
C. [tex]\frac{2.7}{3}[/tex]

Answer :

We start with the fraction

[tex]$$
\frac{27}{30}.
$$[/tex]

Step 1: Find the Greatest Common Divisor (GCD) of 27 and 30.

The largest number that divides both 27 and 30 is 3.

Step 2: Divide the Numerator and the Denominator by the GCD.

Divide both terms by 3:

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

Thus, the fraction reduced to lowest terms is

[tex]$$
\frac{9}{10}.
$$[/tex]