Add 36/42 and 14/10, Solve 36/42 + 1 4/10 as a fraction

Add 36/42 and 14/10

1^st number: 36/42, 2^nd number: 1 4/10

36/42 + 14/10 is 79/35.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 10 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
36/42 = 36 × 5/42 × 5 = 180/210
Likewise, for the 2nd fraction, since 10 × 21 = 210,
14/10 = 14 × 21/10 × 21 = 294/210
Add the two like fractions:
180/210 + 294/210 = 180 + 294/210 = 474/210
474/210 simplified gives 79/35
So, 36/42 + 14/10 = 79/35
In mixed form: 29/35

MathStep (Works offline)

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