Add 30/9 and 25/42, Solve 3 3/9 + 25/42 as a fraction

Add 30/9 and 25/42

1^st number: 3 3/9, 2^nd number: 25/42

30/9 + 25/42 is 55/14.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 9 × 14 = 126,
30/9 = 30 × 14/9 × 14 = 420/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
25/42 = 25 × 3/42 × 3 = 75/126
Add the two like fractions:
420/126 + 75/126 = 420 + 75/126 = 495/126
495/126 simplified gives 55/14
So, 30/9 + 25/42 = 55/14
In mixed form: 313/14

MathStep (Works offline)

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