Compare 4/7 and 5/8

Comparing fractions like 4/7 and 5/8 (⅝) 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 7 and 8. The smallest common multiple of 7 and 8 is 56. Therefore, 56 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 4/7 to a fraction with a denominator of 56, multiply both the numerator (top number) and the denominator by 8. This gives:

To convert our second fraction 5/8 to a fraction with a denominator of 56, multiply both the numerator and the denominator by 7. This gives:

Step 3: Compare the Numerators

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

The numerators are 32 for 32/56 and 35 for 35/56.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 32 (numerator of 8/56) is not greater than 35 (numerator of 7/56):

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).

4/7 as a decimal = 4/7 = 0.571

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

Since 0.571 is not greater than than 0.625, 4/7 is not greater than 5/8.

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