Add 75/42 and 45/27
1st number: 1 33/42, 2nd number: 1 18/27
75/42 + 45/27 is 145/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
45/27 = 45 × 14/27 × 14 = 630/378 - Add the two like fractions:
675/378 + 630/378 = 675 + 630/378 = 1305/378 - 1305/378 simplified gives 145/42
- So, 75/42 + 45/27 = 145/42
In mixed form: 319/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/42+90/27 75/84+45/27 75/42+45/54 75/42+45/81