Add 49/4 and 14/35
1st number: 12 1/4, 2nd number: 14/35
49/4 + 14/35 is 253/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
49/4 = 49 × 35/4 × 35 = 1715/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
14/35 = 14 × 4/35 × 4 = 56/140 - Add the two like fractions:
1715/140 + 56/140 = 1715 + 56/140 = 1771/140 - 1771/140 simplified gives 253/20
- So, 49/4 + 14/35 = 253/20
In mixed form: 1213/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/4+14/35 49/4+28/35 49/8+14/35 49/4+14/70 49/4+42/35 49/12+14/35 49/4+70/35 49/20+14/35 49/4+98/35 49/28+14/35