Compare 12/13 and 9/10

Comparing fractions like 12/13 and 9/10 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 10. The smallest common multiple of 13 and 10 is 130. Therefore, 130 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 12/13 to a fraction with a denominator of 130, multiply both the numerator (top number) and the denominator by 10. This gives:

To convert our second fraction 9/10 to a fraction with a denominator of 130, 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 120 for 120/130 and 117 for 117/130.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 120 (numerator of 10/130) is greater than 117 (numerator of 13/130):

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).

12/13 as a decimal = 12/13 = 0.923

9/10 as a decimal = 9/10 = 0.9

Since 0.923 is greater than than 0.9, 12/13 is greater than 9/10.

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