Add 14/30 and 40/70
14/30 + 40/70 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 70 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
14/30 = 14 × 7/30 × 7 = 98/210 - Likewise, for the 2nd fraction, since 70 × 3 = 210,
40/70 = 40 × 3/70 × 3 = 120/210 - Add the two like fractions:
98/210 + 120/210 = 98 + 120/210 = 218/210 - 218/210 simplified gives 109/105
- So, 14/30 + 40/70 = 109/105
In mixed form: 14/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30+40/70 14/30+80/70 14/60+40/70 42/30+40/70 14/90+40/70 70/30+40/70 98/30+40/70