Add 30/42 and 14/40
30/42 + 14/40 is 149/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
30/42 = 30 × 20/42 × 20 = 600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
14/40 = 14 × 21/40 × 21 = 294/840 - Add the two like fractions:
600/840 + 294/840 = 600 + 294/840 = 894/840 - 894/840 simplified gives 149/140
- So, 30/42 + 14/40 = 149/140
In mixed form: 19/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+14/40 30/42+28/40 30/84+14/40 30/42+14/80 90/42+14/40 30/42+42/40 30/42+70/40 30/42+98/40