Compare 5/8 and 7/8

Comparing fractions like 5/8 (⅝) and 7/8 (⅞) 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 8. The smallest common multiple of 8 and 8 is 8. Therefore, 8 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 5/8 to a fraction with a denominator of 8, multiply both the numerator (top number) and the denominator by 1. This gives:

To convert our second fraction 7/8 to a fraction with a denominator of 8, multiply both the numerator and the denominator by 1. This gives:

Step 3: Compare the Numerators

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

The numerators are 5 for 5/8 and 7 for 7/8.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 5 (numerator of 1/8) is not greater than 7 (numerator of 1/8):

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).

5/8 as a decimal = 5/8 = 0.625

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

Since 0.625 is not greater than than 0.875, 5/8 is not greater than 7/8.

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