Add 40/90 and 49/84
40/90 + 49/84 is 37/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
40/90 = 40 × 14/90 × 14 = 560/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
560/1260 + 735/1260 = 560 + 735/1260 = 1295/1260 - 1295/1260 simplified gives 37/36
- So, 40/90 + 49/84 = 37/36
In mixed form: 11/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/90+49/84 40/90+98/84