Compare 3/11 and 1/6

Comparing fractions like 3/11 and 1/6 (⅙) 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 6. The smallest common multiple of 11 and 6 is 66. Therefore, 66 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 3/11 to a fraction with a denominator of 66, multiply both the numerator (top number) and the denominator by 6. This gives:

To convert our second fraction 1/6 to a fraction with a denominator of 66, 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 18 for 18/66 and 11 for 11/66.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 18 (numerator of 6/66) is greater than 11 (numerator of 11/66):

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).

3/11 as a decimal = 3/11 = 0.273

1/6 as a decimal = 1/6 = 0.167

Since 0.273 is greater than than 0.167, 3/11 is greater than 1/6.

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