Compare 7/11 and 3/5

Comparing fractions like 7/11 and 3/5 (⅗) 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 11 and 5. The smallest common multiple of 11 and 5 is 55. Therefore, 55 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 7/11 to a fraction with a denominator of 55, multiply both the numerator (top number) and the denominator by 5. This gives:

To convert our second fraction 3/5 to a fraction with a denominator of 55, multiply both the numerator and the denominator by 11. This gives:

Step 3: Compare the Numerators

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

The numerators are 35 for 35/55 and 33 for 33/55.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 35 (numerator of 5/55) is greater than 33 (numerator of 11/55):

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).

7/11 as a decimal = 7/11 = 0.636

3/5 as a decimal = 3/5 = 0.6

Since 0.636 is greater than than 0.6, 7/11 is greater than 3/5.