Compare 14/15 and 13/14

Comparing fractions like 14/15 and 13/14 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 15 and 14. The smallest common multiple of 15 and 14 is 210. Therefore, 210 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 14/15 to a fraction with a denominator of 210, multiply both the numerator (top number) and the denominator by 14. This gives:

To convert our second fraction 13/14 to a fraction with a denominator of 210, multiply both the numerator and the denominator by 15. This gives:

Step 3: Compare the Numerators

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

The numerators are 196 for 196/210 and 195 for 195/210.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 196 (numerator of 14/210) is greater than 195 (numerator of 15/210):

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).

14/15 as a decimal = 14/15 = 0.933

13/14 as a decimal = 13/14 = 0.929

Since 0.933 is greater than than 0.929, 14/15 is greater than 13/14.

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