High School

First, rewrite \(\frac{12}{25}\) and \(\frac{9}{20}\) so that they have a common denominator.

Then, use <, =, or > to compare \(\frac{12}{25}\) and \(\frac{9}{20}\).

\(\frac{12}{25} = \frac{__/__}\)

\(\frac{9}{20} = \frac{__/__}\)

Answer :

Common denominator: 12/25 = 48/100; 9/20 = 45/100 and 12/25 > 9/20

To compare the fractions 12/25 and 9/20, we need to rewrite them with a common denominator.

First, find the least common multiple (LCM) of the denominators 25 and 20. The LCM of 25 and 20 is 100.

Rewrite 12/25 with a denominator of 100:

Multiply both numerator and denominator by 4:

  • 12/25 = (12 × 4) / (25 × 4) = 48/100

Rewrite 9/20 with a denominator of 100:

Multiply both numerator and denominator by 5:

  • 9/20 = (9 × 5) / (20 × 5) = 45/100

Now, compare 48/100 and 45/100:

Since 48 is greater than 45, we have 12/25 > 9/20.

Thus, the value 12/25 becomes 48/100 and 9/20 becomes 45/100 and 12/25 is greater than 9/20.

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