Add 8/30 and 14/16
8/30 + 14/16 is 137/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 30 × 8 = 240,
8/30 = 8 × 8/30 × 8 = 64/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
14/16 = 14 × 15/16 × 15 = 210/240 - Add the two like fractions:
64/240 + 210/240 = 64 + 210/240 = 274/240 - 274/240 simplified gives 137/120
- So, 8/30 + 14/16 = 137/120
In mixed form: 117/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/30+14/16 8/30+28/16 8/60+14/16 8/30+14/32 24/30+14/16 8/30+42/16 8/90+14/16 8/30+14/48 40/30+14/16 8/30+70/16 8/30+14/80 56/30+14/16 8/30+98/16