Compare 8/9 and 8/15

Comparing fractions like 8/9 and 8/15 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 9 and 15. The smallest common multiple of 9 and 15 is 45. Therefore, 45 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 8/9 to a fraction with a denominator of 45, multiply both the numerator (top number) and the denominator by 5. This gives:

To convert our second fraction 8/15 to a fraction with a denominator of 45, multiply both the numerator and the denominator by 3. This gives:

Step 3: Compare the Numerators

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

The numerators are 40 for 40/45 and 24 for 24/45.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 40 (numerator of 5/45) is greater than 24 (numerator of 3/45):

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).

8/9 as a decimal = 8/9 = 0.889

8/15 as a decimal = 8/15 = 0.533

Since 0.889 is greater than than 0.533, 8/9 is greater than 8/15.

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