Add 75/42 and 18/40
1st number: 1 33/42, 2nd number: 18/40
75/42 + 18/40 is 313/140.
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,
75/42 = 75 × 20/42 × 20 = 1500/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
18/40 = 18 × 21/40 × 21 = 378/840 - Add the two like fractions:
1500/840 + 378/840 = 1500 + 378/840 = 1878/840 - 1878/840 simplified gives 313/140
- So, 75/42 + 18/40 = 313/140
In mixed form: 233/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/42+36/40 75/84+18/40 75/42+18/80 75/42+54/40 75/42+90/40