Add 35/84 and 49/40
1st number: 35/84, 2nd number: 1 9/40
35/84 + 49/40 is 197/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
35/84 = 35 × 10/84 × 10 = 350/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
49/40 = 49 × 21/40 × 21 = 1029/840 - Add the two like fractions:
350/840 + 1029/840 = 350 + 1029/840 = 1379/840 - 1379/840 simplified gives 197/120
- So, 35/84 + 49/40 = 197/120
In mixed form: 177/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/84+49/40 35/84+98/40 35/84+49/80