Add 7/10 and 40/75
7/10 + 40/75 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
7/10 = 7 × 15/10 × 15 = 105/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
40/75 = 40 × 2/75 × 2 = 80/150 - Add the two like fractions:
105/150 + 80/150 = 105 + 80/150 = 185/150 - 185/150 simplified gives 37/30
- So, 7/10 + 40/75 = 37/30
In mixed form: 17/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/10+40/75 7/10+80/75 7/20+40/75 21/10+40/75 7/30+40/75 35/10+40/75 7/50+40/75 49/10+40/75 7/70+40/75