Compare 11/14 and 1/3

Comparing fractions like 11/14 and 1/3 (⅓) 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 14 and 3. The smallest common multiple of 14 and 3 is 42. Therefore, 42 will be our common denominator.

Step 2: Convert the Fractions

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

To convert 11/14 to a fraction with a denominator of 42, multiply both the numerator (top number) and the denominator by 3. This gives:

To convert our second fraction 1/3 to a fraction with a denominator of 42, multiply both the numerator and the denominator by 14. This gives:

Step 3: Compare the Numerators

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

The numerators are 33 for 33/42 and 14 for 14/42.

Step 4: Determine the Larger Fraction

The fraction with the larger numerator is the greater fraction.

Since 33 (numerator of 3/42) is greater than 14 (numerator of 14/42):

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).

11/14 as a decimal = 11/14 = 0.786

1/3 as a decimal = 1/3 = 0.333

Since 0.786 is greater than than 0.333, 11/14 is greater than 1/3.