Add 30/40 and 4/49
30/40 + 4/49 is 163/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 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 49 × 40 = 1960,
4/49 = 4 × 40/49 × 40 = 160/1960 - Add the two like fractions:
1470/1960 + 160/1960 = 1470 + 160/1960 = 1630/1960 - 1630/1960 simplified gives 163/196
- So, 30/40 + 4/49 = 163/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+4/49 30/40+8/49 30/80+4/49 30/40+4/98 90/40+4/49 30/40+12/49 30/40+20/49 30/40+28/49