Add 4/40 and 30/49
4/40 + 30/49 is 349/490.
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,
4/40 = 4 × 49/40 × 49 = 196/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
30/49 = 30 × 40/49 × 40 = 1200/1960 - Add the two like fractions:
196/1960 + 1200/1960 = 196 + 1200/1960 = 1396/1960 - 1396/1960 simplified gives 349/490
- So, 4/40 + 30/49 = 349/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/40+30/49 4/40+60/49 4/80+30/49 4/40+30/98 12/40+30/49 4/40+90/49 20/40+30/49 28/40+30/49