Add 45/8 and 8/21
1st number: 5 5/8, 2nd number: 8/21
45/8 + 8/21 is 1009/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
45/8 = 45 × 21/8 × 21 = 945/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
8/21 = 8 × 8/21 × 8 = 64/168 - Add the two like fractions:
945/168 + 64/168 = 945 + 64/168 = 1009/168 - So, 45/8 + 8/21 = 1009/168
In mixed form: 61/168
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/8+8/21 45/8+16/21 45/16+8/21 45/8+8/42 45/8+24/21 45/24+8/21 45/8+8/63 45/8+40/21 45/40+8/21 45/8+56/21 45/56+8/21