Add 21/35 and 45/8
1st number: 21/35, 2nd number: 5 5/8
21/35 + 45/8 is 249/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
21/35 = 21 × 8/35 × 8 = 168/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
45/8 = 45 × 35/8 × 35 = 1575/280 - Add the two like fractions:
168/280 + 1575/280 = 168 + 1575/280 = 1743/280 - 1743/280 simplified gives 249/40
- So, 21/35 + 45/8 = 249/40
In mixed form: 69/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/35+45/8 21/35+90/8 21/70+45/8 21/35+45/16 63/35+45/8 21/35+45/24 21/35+45/40 21/35+45/56