Add 98/30 and 16/14
1st number: 3 8/30, 2nd number: 1 2/14
98/30 + 16/14 is 463/105.
Steps for adding fractions
- 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,
16/14 = 16 × 15/14 × 15 = 240/210 - Add the two like fractions:
686/210 + 240/210 = 686 + 240/210 = 926/210 - 926/210 simplified gives 463/105
- So, 98/30 + 16/14 = 463/105
In mixed form: 443/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/30+32/14 98/60+16/14 98/30+16/28 98/30+48/14 98/90+16/14 98/30+16/42 98/30+80/14 98/30+16/70 98/30+16/98