How do you solve \frac { 4} { 6} + \frac { 4} { 7}46+47?

1 Answer
Mar 5, 2018

26/21 = 1 5/212621=1521

Explanation:

Given: 4/6 + 4/746+47

To add these fractions we need to find a common denominator. We want to find the least common multiple (LCM) of the two denominators.

Find the LCM by finding the smallest multiple that is common:
6: 6, 12, 18, 24, 30, 36, color(red)(42), ...

7: 7, 14, 21, 28, 35, color(red)(42), ...

The LCM is 42.

Multiply each fraction by a fraction that is 1 that = 42(LCM) in the denominator:

4/6 xx 7/7 = 28/42

4/7 xx 6/6 = 24/42

4/6 + 4/7 = 28/42 + 24/42 = 52/42

Since both numerator and denominator are divisible by 2, reduce the fraction: 52/42 -: 2/2 = 26/21

Put answer in mixed numbers: 26/21 = 1 5/21