Add 98/30 and 4/14, Solve 3 8/30 + 4/14 as a fraction

Add 98/30 and 4/14

1^st number: 3 8/30, 2^nd number: 4/14

98/30 + 4/14 is 373/105.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
98/30 = 98 × 7/30 × 7 = 686/210
Likewise, for the 2nd fraction, since 14 × 15 = 210,
4/14 = 4 × 15/14 × 15 = 60/210
Add the two like fractions:
686/210 + 60/210 = 686 + 60/210 = 746/210
746/210 simplified gives 373/105
So, 98/30 + 4/14 = 373/105
In mixed form: 358/105

MathStep (Works offline)

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