Add 30/14 and 45/28
1st number: 2 2/14, 2nd number: 1 17/28
30/14 + 45/28 is 15/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 28 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
30/14 = 30 × 2/14 × 2 = 60/28 - Likewise, for the 2nd fraction, since 28 × 1 = 28,
45/28 = 45 × 1/28 × 1 = 45/28 - Add the two like fractions:
60/28 + 45/28 = 60 + 45/28 = 105/28 - 105/28 simplified gives 15/4
- So, 30/14 + 45/28 = 15/4
In mixed form: 33/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+45/28 30/14+90/28 30/28+45/28 30/14+45/56 90/14+45/28 30/42+45/28 30/14+45/84 30/70+45/28 30/98+45/28