Add 7/27 and 45/21
1st number: 7/27, 2nd number: 2 3/21
7/27 + 45/21 is 454/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
7/27 = 7 × 7/27 × 7 = 49/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
45/21 = 45 × 9/21 × 9 = 405/189 - Add the two like fractions:
49/189 + 405/189 = 49 + 405/189 = 454/189 - So, 7/27 + 45/21 = 454/189
In mixed form: 276/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/27+45/21 7/27+90/21 7/54+45/21 7/27+45/42 21/27+45/21 7/81+45/21 7/27+45/63 35/27+45/21 49/27+45/21