Add 4/40 and 98/42, Solve 4/40 + 2 14/42 as a fraction

Add 4/40 and 98/42

1^st number: 4/40, 2^nd number: 2 14/42

4/40 + 98/42 is 73/30.

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,
4/40 = 4 × 21/40 × 21 = 84/840
Likewise, for the 2nd fraction, since 42 × 20 = 840,
98/42 = 98 × 20/42 × 20 = 1960/840
Add the two like fractions:
84/840 + 1960/840 = 84 + 1960/840 = 2044/840
2044/840 simplified gives 73/30
So, 4/40 + 98/42 = 73/30
In mixed form: 213/30

MathStep (Works offline)

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