Add 98/21 and 21/90, Solve 4 14/21 + 21/90 as a fraction

Add 98/21 and 21/90

1^st number: 4 14/21, 2^nd number: 21/90

98/21 + 21/90 is 49/10.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 90 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 21 × 30 = 630,
98/21 = 98 × 30/21 × 30 = 2940/630
Likewise, for the 2nd fraction, since 90 × 7 = 630,
21/90 = 21 × 7/90 × 7 = 147/630
Add the two like fractions:
2940/630 + 147/630 = 2940 + 147/630 = 3087/630
3087/630 simplified gives 49/10
So, 98/21 + 21/90 = 49/10
In mixed form: 49/10

MathStep (Works offline)

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