Add 1/40 and 56/42, Solve 1/40 + 1 14/42 as a fraction

Add 1/40 and 56/42

1^st number: 1/40, 2^nd number: 1 14/42

1/40 + 56/42 is 163/120.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 40 × 21 = 840,
1/40 = 1 × 21/40 × 21 = 21/840
Likewise, for the 2nd fraction, since 42 × 20 = 840,
56/42 = 56 × 20/42 × 20 = 1120/840
Add the two like fractions:
21/840 + 1120/840 = 21 + 1120/840 = 1141/840
1141/840 simplified gives 163/120
So, 1/40 + 56/42 = 163/120
In mixed form: 143/120

MathStep (Works offline)

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