Add 8/45 and 21/8
1st number: 8/45, 2nd number: 2 5/8
8/45 + 21/8 is 1009/360.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 8 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
8/45 = 8 × 8/45 × 8 = 64/360 - Likewise, for the 2nd fraction, since 8 × 45 = 360,
21/8 = 21 × 45/8 × 45 = 945/360 - Add the two like fractions:
64/360 + 945/360 = 64 + 945/360 = 1009/360 - So, 8/45 + 21/8 = 1009/360
In mixed form: 2289/360
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/45+21/8 8/45+42/8 8/90+21/8 8/45+21/16 24/45+21/8 8/45+63/8 8/45+21/24 40/45+21/8 8/45+21/40 56/45+21/8 8/45+21/56