Add 20/35 and 49/16
1st number: 20/35, 2nd number: 3 1/16
20/35 + 49/16 is 407/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
20/35 = 20 × 16/35 × 16 = 320/560 - Likewise, for the 2nd fraction, since 16 × 35 = 560,
49/16 = 49 × 35/16 × 35 = 1715/560 - Add the two like fractions:
320/560 + 1715/560 = 320 + 1715/560 = 2035/560 - 2035/560 simplified gives 407/112
- So, 20/35 + 49/16 = 407/112
In mixed form: 371/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/35+49/16 20/35+98/16 20/70+49/16 20/35+49/32 60/35+49/16 20/35+49/48 20/35+49/80