Add 30/42 and 56/40
1st number: 30/42, 2nd number: 1 16/40
30/42 + 56/40 is 74/35.
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,
56/40 = 56 × 21/40 × 21 = 1176/840 - Add the two like fractions:
600/840 + 1176/840 = 600 + 1176/840 = 1776/840 - 1776/840 simplified gives 74/35
- So, 30/42 + 56/40 = 74/35
In mixed form: 24/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+56/40 30/84+56/40 30/42+56/80 90/42+56/40