Add 36/10 and 2/42, Solve 3 6/10 + 2/42 as a fraction

Add 36/10 and 2/42

1^st number: 3 6/10, 2^nd number: 2/42

36/10 + 2/42 is 383/105.

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

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
36/10 = 36 × 21/10 × 21 = 756/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
2/42 = 2 × 5/42 × 5 = 10/210
Add the two like fractions:
756/210 + 10/210 = 756 + 10/210 = 766/210
766/210 simplified gives 383/105
So, 36/10 + 2/42 = 383/105
In mixed form: 368/105

MathStep (Works offline)

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