Add 21/8 and 24/45
1st number: 2 5/8, 2nd number: 24/45
21/8 + 24/45 is 379/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 8 × 45 = 360,
21/8 = 21 × 45/8 × 45 = 945/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
24/45 = 24 × 8/45 × 8 = 192/360 - Add the two like fractions:
945/360 + 192/360 = 945 + 192/360 = 1137/360 - 1137/360 simplified gives 379/120
- So, 21/8 + 24/45 = 379/120
In mixed form: 319/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/8+24/45 21/8+48/45 21/16+24/45 21/8+24/90 63/8+24/45 21/8+72/45 21/24+24/45 21/40+24/45 21/56+24/45