Add 9/49 and 27/40
9/49 + 27/40 is 1683/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
9/49 = 9 × 40/49 × 40 = 360/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
27/40 = 27 × 49/40 × 49 = 1323/1960 - Add the two like fractions:
360/1960 + 1323/1960 = 360 + 1323/1960 = 1683/1960 - So, 9/49 + 27/40 = 1683/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/49+27/40 9/49+54/40 9/98+27/40 9/49+27/80 27/49+27/40 9/49+81/40 45/49+27/40 63/49+27/40