Add 45/7 and 75/27
1st number: 6 3/7, 2nd number: 2 21/27
45/7 + 75/27 is 580/63.
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,
45/7 = 45 × 27/7 × 27 = 1215/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189 - Add the two like fractions:
1215/189 + 525/189 = 1215 + 525/189 = 1740/189 - 1740/189 simplified gives 580/63
- So, 45/7 + 75/27 = 580/63
In mixed form: 913/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/7+75/27 45/14+75/27 45/7+75/54 45/21+75/27 45/7+75/81 45/35+75/27 45/49+75/27