Compare 13/22 and 14/25

Comparing fractions like 13/22 and 14/25 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 22 and 25. The smallest common multiple of 22 and 25 is 550. Therefore, 550 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 13/22 to a fraction with a denominator of 550, multiply both the numerator (top number) and the denominator by 25. This gives:

To convert our second fraction 14/25 to a fraction with a denominator of 550, multiply both the numerator and the denominator by 22. This gives:

Step 3: Compare the Numerators

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

The numerators are 325 for 325/550 and 308 for 308/550.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 325 (numerator of 25/550) is greater than 308 (numerator of 22/550):

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).

13/22 as a decimal = 13/22 = 0.591

14/25 as a decimal = 14/25 = 0.56

Since 0.591 is greater than than 0.56, 13/22 is greater than 14/25.

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