Compare 12/15 and 2/5

Comparing fractions like 12/15 and 2/5 (⅖) 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 15 and 5. The smallest common multiple of 15 and 5 is 15. Therefore, 15 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 12/15 to a fraction with a denominator of 15, multiply both the numerator (top number) and the denominator by 1. This gives:

To convert our second fraction 2/5 to a fraction with a denominator of 15, 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 12 for 12/15 and 6 for 6/15.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 12 (numerator of 1/15) is greater than 6 (numerator of 3/15):

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).

12/15 as a decimal = 12/15 = 0.8

2/5 as a decimal = 2/5 = 0.4

Since 0.8 is greater than than 0.4, 12/15 is greater than 2/5.

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