Add 10/49 and 10/40
10/49 + 10/40 is 89/196.
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,
10/49 = 10 × 40/49 × 40 = 400/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
10/40 = 10 × 49/40 × 49 = 490/1960 - Add the two like fractions:
400/1960 + 490/1960 = 400 + 490/1960 = 890/1960 - 890/1960 simplified gives 89/196
- So, 10/49 + 10/40 = 89/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/49+10/40 10/49+20/40 10/98+10/40 10/49+10/80 30/49+10/40 10/49+30/40 50/49+10/40 10/49+50/40 70/49+10/40 10/49+70/40