Add 40/10 and 10/49
1st number: 4 0/10, 2nd number: 10/49
40/10 + 10/49 is 206/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
40/10 = 40 × 49/10 × 49 = 1960/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
10/49 = 10 × 10/49 × 10 = 100/490 - Add the two like fractions:
1960/490 + 100/490 = 1960 + 100/490 = 2060/490 - 2060/490 simplified gives 206/49
- So, 40/10 + 10/49 = 206/49
In mixed form: 410/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/10+10/49 40/10+20/49 40/20+10/49 40/10+10/98 40/10+30/49 40/30+10/49 40/10+50/49 40/50+10/49 40/10+70/49 40/70+10/49