Compare 7/8 and 7/11

Comparing fractions like 7/8 (⅞) and 7/11 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 8 and 11. The smallest common multiple of 8 and 11 is 88. Therefore, 88 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 7/8 to a fraction with a denominator of 88, multiply both the numerator (top number) and the denominator by 11. This gives:

To convert our second fraction 7/11 to a fraction with a denominator of 88, multiply both the numerator and the denominator by 8. This gives:

Step 3: Compare the Numerators

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

The numerators are 77 for 77/88 and 56 for 56/88.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 77 (numerator of 11/88) is greater than 56 (numerator of 8/88):

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).

7/8 as a decimal = 7/8 = 0.875

7/11 as a decimal = 7/11 = 0.636

Since 0.875 is greater than than 0.636, 7/8 is greater than 7/11.