Add 42/5 and 75/27
1st number: 8 2/5, 2nd number: 2 21/27
42/5 + 75/27 is 503/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
42/5 = 42 × 27/5 × 27 = 1134/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
75/27 = 75 × 5/27 × 5 = 375/135 - Add the two like fractions:
1134/135 + 375/135 = 1134 + 375/135 = 1509/135 - 1509/135 simplified gives 503/45
- So, 42/5 + 75/27 = 503/45
In mixed form: 118/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/5+75/27 42/10+75/27 42/5+75/54 42/15+75/27 42/5+75/81 42/25+75/27 42/35+75/27