Add 27/40 and 70/49
1st number: 27/40, 2nd number: 1 21/49
27/40 + 70/49 is 589/280.
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,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
70/49 = 70 × 40/49 × 40 = 2800/1960 - Add the two like fractions:
1323/1960 + 2800/1960 = 1323 + 2800/1960 = 4123/1960 - 4123/1960 simplified gives 589/280
- So, 27/40 + 70/49 = 589/280
In mixed form: 229/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+70/49 27/80+70/49 27/40+70/98 81/40+70/49