Add 16/7 and 45/27
1st number: 2 2/7, 2nd number: 1 18/27
16/7 + 45/27 is 83/21.
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,
16/7 = 16 × 27/7 × 27 = 432/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
45/27 = 45 × 7/27 × 7 = 315/189 - Add the two like fractions:
432/189 + 315/189 = 432 + 315/189 = 747/189 - 747/189 simplified gives 83/21
- So, 16/7 + 45/27 = 83/21
In mixed form: 320/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/7+45/27 16/7+90/27 16/14+45/27 16/7+45/54 48/7+45/27 16/21+45/27 16/7+45/81 80/7+45/27 16/35+45/27 16/49+45/27