Add 16/10 and 21/45
1st number: 1 6/10, 2nd number: 21/45
16/10 + 21/45 is 31/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
16/10 = 16 × 9/10 × 9 = 144/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
21/45 = 21 × 2/45 × 2 = 42/90 - Add the two like fractions:
144/90 + 42/90 = 144 + 42/90 = 186/90 - 186/90 simplified gives 31/15
- So, 16/10 + 21/45 = 31/15
In mixed form: 21/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/10+21/45 16/10+42/45 16/20+21/45 16/10+21/90 48/10+21/45 16/10+63/45 16/30+21/45 80/10+21/45 16/50+21/45 16/70+21/45