Add 24/7 and 3/27, Solve 3 3/7 + 3/27 as a fraction

Add 24/7 and 3/27

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

24/7 + 3/27 is 223/63.

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,
24/7 = 24 × 27/7 × 27 = 648/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
3/27 = 3 × 7/27 × 7 = 21/189
Add the two like fractions:
648/189 + 21/189 = 648 + 21/189 = 669/189
669/189 simplified gives 223/63
So, 24/7 + 3/27 = 223/63
In mixed form: 334/63

MathStep (Works offline)

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