- 12/7 + (3/14) Write your answer as a reduced improper fraction.
To add these fractions, we need to find a common denominator. The common denominator of 7 and 14 is 14.
Converting 12/7 to have a denominator of 14:
(12/7) x (2/2) = 24/14
Therefore, the equation becomes:
24/14 + 3/14
Adding the numerators:
24 + 3 = 27
The denominator remains the same: 14
So, the sum is 27/14.
To add fractions, we need a common denominator. The least common multiple of 7 and 14 is 14. Therefore, we need to convert the first fraction to have a denominator of 14.
To convert 12/7 to have a denominator of 14, we multiply the numerator and denominator by 2:
(12/7) * (2/2) = 24/14
Now we can add the two fractions:
24/14 + 3/14 = (24 + 3) / 14 = 27/14
The resulting fraction, 27/14, is an improper fraction because the numerator is greater than the denominator. However, we can reduce it to a mixed number:
27 ÷ 14 = 1 remainder 13
So, the final answer as a reduced improper fraction is 1 13/14.