Compare 7/8 and 9/10

Comparing fractions like 7/8 (⅞) 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 8 and 10. The smallest common multiple of 8 and 10 is 40. Therefore, 40 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 40, multiply both the numerator (top number) and the denominator by 5. This gives:

To convert our second fraction 9/10 to a fraction with a denominator of 40, multiply both the numerator and the denominator by 4. This gives:

Step 3: Compare the Numerators

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

The numerators are 35 for 35/40 and 36 for 36/40.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 35 (numerator of 5/40) is not greater than 36 (numerator of 4/40):

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

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

Since 0.875 is not greater than than 0.9, 7/8 is not greater than 9/10.