Compare 13/24 and 25/27

Comparing fractions like 13/24 and 25/27 involves determining which fraction is greater or if they are equal. Here are the steps to compare these fractions:

Step 1: Find a Common Denominator

The first step is to find a common denominator for the fractions. The denominator is the bottom number in a fraction. A common denominator is a number that both denominators can divide into without a remainder. In this case, the denominators are 24 and 27. The smallest common multiple of 24 and 27 is 216. Therefore, 216 will be our common denominator.

Step 2: Convert the Fractions

Next, convert each fraction to an equivalent fraction with the common denominator.

To convert 13/24 to a fraction with a denominator of 216, multiply both the numerator (top number) and the denominator by 9. This gives:

To convert our second fraction 25/27 to a fraction with a denominator of 216, multiply both the numerator and the denominator by 8. This gives:

Step 3: Compare the Numerators

Now that the fractions have the same denominator, you can directly compare their numerators.

The numerators are 117 for 117/216 and 200 for 200/216.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 117 (numerator of 9/216) is not greater than 200 (numerator of 8/216):

Conclusion

Therefore,

Another way to figure out which fraction is larger is to convert them into decimal numbers.

To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number).

13/24 as a decimal = 13/24 = 0.542

25/27 as a decimal = 25/27 = 0.926

Since 0.542 is not greater than than 0.926, 13/24 is not greater than 25/27.