Add 21/14 and 1/42, Solve 1 7/14 + 1/42 as a fraction

Add 21/14 and 1/42

1^st number: 1 7/14, 2^nd number: 1/42

21/14 + 1/42 is 32/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
21/14 = 21 × 3/14 × 3 = 63/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
1/42 = 1 × 1/42 × 1 = 1/42
Add the two like fractions:
63/42 + 1/42 = 63 + 1/42 = 64/42
64/42 simplified gives 32/21
So, 21/14 + 1/42 = 32/21
In mixed form: 111/21

MathStep (Works offline)

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