Add 75/40 and 3/42
1st number: 1 35/40, 2nd number: 3/42
75/40 + 3/42 is 109/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 42 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Likewise, for the 2nd fraction, since 42 × 20 = 840,
3/42 = 3 × 20/42 × 20 = 60/840 - Add the two like fractions:
1575/840 + 60/840 = 1575 + 60/840 = 1635/840 - 1635/840 simplified gives 109/56
- So, 75/40 + 3/42 = 109/56
In mixed form: 153/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+6/42 75/80+3/42 75/40+3/84 75/40+9/42 75/40+15/42 75/40+21/42