Add 75/27 and 54/7
1st number: 2 21/27, 2nd number: 7 5/7
75/27 + 54/7 is 661/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
54/7 = 54 × 27/7 × 27 = 1458/189 - Add the two like fractions:
525/189 + 1458/189 = 525 + 1458/189 = 1983/189 - 1983/189 simplified gives 661/63
- So, 75/27 + 54/7 = 661/63
In mixed form: 1031/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/54+54/7 75/27+54/14 75/81+54/7 75/27+54/21 75/27+54/35 75/27+54/49