Add 45/8 and 49/40
1st number: 5 5/8, 2nd number: 1 9/40
45/8 + 49/40 is 137/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 8 × 5 = 40,
45/8 = 45 × 5/8 × 5 = 225/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
49/40 = 49 × 1/40 × 1 = 49/40 - Add the two like fractions:
225/40 + 49/40 = 225 + 49/40 = 274/40 - 274/40 simplified gives 137/20
- So, 45/8 + 49/40 = 137/20
In mixed form: 617/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/8+49/40 45/8+98/40 45/16+49/40 45/8+49/80 45/24+49/40 45/40+49/40 45/56+49/40