Compare 11/12 and 10/11

Comparing fractions like 11/12 and 10/11 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 12 and 11. The smallest common multiple of 12 and 11 is 132. Therefore, 132 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 11/12 to a fraction with a denominator of 132, multiply both the numerator (top number) and the denominator by 11. This gives:

To convert our second fraction 10/11 to a fraction with a denominator of 132, multiply both the numerator and the denominator by 12. This gives:

Step 3: Compare the Numerators

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

The numerators are 121 for 121/132 and 120 for 120/132.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 121 (numerator of 11/132) is greater than 120 (numerator of 12/132):

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).

11/12 as a decimal = 11/12 = 0.917

10/11 as a decimal = 10/11 = 0.909

Since 0.917 is greater than than 0.909, 11/12 is greater than 10/11.

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