Add 42/36 and 81/49, Solve 1 6/36 + 1 32/49 as a fraction

Add 42/36 and 81/49

1^st number: 1 6/36, 2^nd number: 1 32/49

42/36 + 81/49 is 829/294.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764

Next, find the equivalent fraction of both fractional numbers with denominator 1764
For the 1st fraction, since 36 × 49 = 1764,
42/36 = 42 × 49/36 × 49 = 2058/1764
Likewise, for the 2nd fraction, since 49 × 36 = 1764,
81/49 = 81 × 36/49 × 36 = 2916/1764
Add the two like fractions:
2058/1764 + 2916/1764 = 2058 + 2916/1764 = 4974/1764
4974/1764 simplified gives 829/294
So, 42/36 + 81/49 = 829/294
In mixed form: 2241/294

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad