Add 35/40 and 30/70
35/40 + 30/70 is 73/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 70 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 70 × 4 = 280,
30/70 = 30 × 4/70 × 4 = 120/280 - Add the two like fractions:
245/280 + 120/280 = 245 + 120/280 = 365/280 - 365/280 simplified gives 73/56
- So, 35/40 + 30/70 = 73/56
In mixed form: 117/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/40+30/70 35/40+60/70 35/80+30/70 35/40+90/70