Compare 11/12 and 13/15

Comparing fractions like 11/12 and 13/15 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 12 and 15. The smallest common multiple of 12 and 15 is 60. Therefore, 60 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 11/12 to a fraction with a denominator of 60, multiply both the numerator (top number) and the denominator by 5. This gives:

To convert our second fraction 13/15 to a fraction with a denominator of 60, 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 55 for 55/60 and 52 for 52/60.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 55 (numerator of 5/60) is greater than 52 (numerator of 4/60):

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).

11/12 as a decimal = 11/12 = 0.917

13/15 as a decimal = 13/15 = 0.867

Since 0.917 is greater than than 0.867, 11/12 is greater than 13/15.

• Fraction to Decimal Converter - Convert Fraction to Decimal
• Fraction to Mixed Number Converter - Convert an Improper Fraction to a Mixed Number
• Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
• Percent to Fraction Converter - Convert Percents to Fraction