Add 42/49 and 10/27
42/49 + 10/27 is 232/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
10/27 = 10 × 49/27 × 49 = 490/1323 - Add the two like fractions:
1134/1323 + 490/1323 = 1134 + 490/1323 = 1624/1323 - 1624/1323 simplified gives 232/189
- So, 42/49 + 10/27 = 232/189
In mixed form: 143/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/49+10/27 42/49+20/27 42/98+10/27 42/49+10/54 42/49+30/27 42/49+10/81 42/49+50/27 42/49+70/27