Add 30/40 and 30/98
30/40 + 30/98 is 207/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 98 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Likewise, for the 2nd fraction, since 98 × 20 = 1960,
30/98 = 30 × 20/98 × 20 = 600/1960 - Add the two like fractions:
1470/1960 + 600/1960 = 1470 + 600/1960 = 2070/1960 - 2070/1960 simplified gives 207/196
- So, 30/40 + 30/98 = 207/196
In mixed form: 111/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+30/98 30/40+60/98 30/80+30/98 90/40+30/98 30/40+90/98