Add 98/21 and 4/40, Solve 4 14/21 + 4/40 as a fraction

Add 98/21 and 4/40

1^st number: 4 14/21, 2^nd number: 4/40

98/21 + 4/40 is 143/30.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 21 × 40 = 840,
98/21 = 98 × 40/21 × 40 = 3920/840
Likewise, for the 2nd fraction, since 40 × 21 = 840,
4/40 = 4 × 21/40 × 21 = 84/840
Add the two like fractions:
3920/840 + 84/840 = 3920 + 84/840 = 4004/840
4004/840 simplified gives 143/30
So, 98/21 + 4/40 = 143/30
In mixed form: 423/30

MathStep (Works offline)

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