Compare 11/13 and 11/15

Comparing fractions like 11/13 and 11/15 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 15. The smallest common multiple of 13 and 15 is 195. Therefore, 195 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 195, multiply both the numerator (top number) and the denominator by 15. This gives:

To convert our second fraction 11/15 to a fraction with a denominator of 195, 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 165 for 165/195 and 143 for 143/195.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 165 (numerator of 15/195) is greater than 143 (numerator of 13/195):

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

11/15 as a decimal = 11/15 = 0.733

Since 0.846 is greater than than 0.733, 11/13 is greater than 11/15.

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