Add 49/42 and 3/80, Solve 1 7/42 + 3/80 as a fraction

Add 49/42 and 3/80

1^st number: 1 7/42, 2^nd number: 3/80

49/42 + 3/80 is 289/240.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1680
For the 1st fraction, since 42 × 40 = 1680,
49/42 = 49 × 40/42 × 40 = 1960/1680
Likewise, for the 2nd fraction, since 80 × 21 = 1680,
3/80 = 3 × 21/80 × 21 = 63/1680
Add the two like fractions:
1960/1680 + 63/1680 = 1960 + 63/1680 = 2023/1680
2023/1680 simplified gives 289/240
So, 49/42 + 3/80 = 289/240
In mixed form: 149/240

MathStep (Works offline)

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