Compare 11/13 and 8/12

Comparing fractions like 11/13 and 8/12 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 13 and 12. The smallest common multiple of 13 and 12 is 156. Therefore, 156 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 11/13 to a fraction with a denominator of 156, multiply both the numerator (top number) and the denominator by 12. This gives:

To convert our second fraction 8/12 to a fraction with a denominator of 156, multiply both the numerator and the denominator by 13. This gives:

Step 3: Compare the Numerators

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

The numerators are 132 for 132/156 and 104 for 104/156.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 132 (numerator of 12/156) is greater than 104 (numerator of 13/156):

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).

11/13 as a decimal = 11/13 = 0.846

8/12 as a decimal = 8/12 = 0.667

Since 0.846 is greater than than 0.667, 11/13 is greater than 8/12.