Add 36/80 and 50/42, Solve 36/80 + 1 8/42 as a fraction

Add 36/80 and 50/42

1^st number: 36/80, 2^nd number: 1 8/42

36/80 + 50/42 is 689/420.

Find the least common denominator or LCM of the two denominators:
LCM of 80 and 42 is 1680

Next, find the equivalent fraction of both fractional numbers with denominator 1680
For the 1st fraction, since 80 × 21 = 1680,
36/80 = 36 × 21/80 × 21 = 756/1680
Likewise, for the 2nd fraction, since 42 × 40 = 1680,
50/42 = 50 × 40/42 × 40 = 2000/1680
Add the two like fractions:
756/1680 + 2000/1680 = 756 + 2000/1680 = 2756/1680
2756/1680 simplified gives 689/420
So, 36/80 + 50/42 = 689/420
In mixed form: 1269/420

MathStep (Works offline)

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