Add 27/7 and 42/27
1st number: 3 6/7, 2nd number: 1 15/27
27/7 + 42/27 is 341/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
27/7 = 27 × 27/7 × 27 = 729/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
729/189 + 294/189 = 729 + 294/189 = 1023/189 - 1023/189 simplified gives 341/63
- So, 27/7 + 42/27 = 341/63
In mixed form: 526/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/7+42/27 27/7+84/27 27/14+42/27 27/7+42/54 81/7+42/27 27/21+42/27 27/7+42/81 27/35+42/27 27/49+42/27