Add 8/21 and 24/45
8/21 + 24/45 is 32/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
8/21 = 8 × 15/21 × 15 = 120/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Add the two like fractions:
120/315 + 168/315 = 120 + 168/315 = 288/315 - 288/315 simplified gives 32/35
- So, 8/21 + 24/45 = 32/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/21+24/45 8/21+48/45 8/42+24/45 8/21+24/90 24/21+24/45 8/21+72/45 8/63+24/45 40/21+24/45 56/21+24/45