Add 7/4 and 35/14
1st number: 1 3/4, 2nd number: 2 7/14
7/4 + 35/14 is 17/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
7/4 = 7 × 7/4 × 7 = 49/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
35/14 = 35 × 2/14 × 2 = 70/28 - Add the two like fractions:
49/28 + 70/28 = 49 + 70/28 = 119/28 - 119/28 simplified gives 17/4
- So, 7/4 + 35/14 = 17/4
In mixed form: 41/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/4+35/14 7/4+70/14 7/8+35/14 7/4+35/28 21/4+35/14 7/12+35/14 7/4+35/42 35/4+35/14 7/20+35/14 7/4+35/70 49/4+35/14 7/28+35/14 7/4+35/98