Compare 13/28 and 15/17

Comparing fractions like 13/28 and 15/17 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 28 and 17. The smallest common multiple of 28 and 17 is 476. Therefore, 476 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 13/28 to a fraction with a denominator of 476, multiply both the numerator (top number) and the denominator by 17. This gives:

To convert our second fraction 15/17 to a fraction with a denominator of 476, multiply both the numerator and the denominator by 28. This gives:

Step 3: Compare the Numerators

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

The numerators are 221 for 221/476 and 420 for 420/476.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 221 (numerator of 17/476) is not greater than 420 (numerator of 28/476):

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).

13/28 as a decimal = 13/28 = 0.464

15/17 as a decimal = 15/17 = 0.882

Since 0.464 is not greater than than 0.882, 13/28 is not greater than 15/17.

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