Add 25/7 and 9/27, Solve 3 4/7 + 9/27 as a fraction

Add 25/7 and 9/27

1^st number: 3 4/7, 2^nd number: 9/27

25/7 + 9/27 is 82/21.

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,
25/7 = 25 × 27/7 × 27 = 675/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
9/27 = 9 × 7/27 × 7 = 63/189
Add the two like fractions:
675/189 + 63/189 = 675 + 63/189 = 738/189
738/189 simplified gives 82/21
So, 25/7 + 9/27 = 82/21
In mixed form: 319/21

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad