Add 30/75 and 42/40
1st number: 30/75, 2nd number: 1 2/40
30/75 + 42/40 is 29/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
30/75 = 30 × 8/75 × 8 = 240/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
42/40 = 42 × 15/40 × 15 = 630/600 - Add the two like fractions:
240/600 + 630/600 = 240 + 630/600 = 870/600 - 870/600 simplified gives 29/20
- So, 30/75 + 42/40 = 29/20
In mixed form: 19/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+42/40 30/75+84/40 30/75+42/80 90/75+42/40