Add 21/84 and 49/10
1st number: 21/84, 2nd number: 4 9/10
21/84 + 49/10 is 103/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
49/10 = 49 × 42/10 × 42 = 2058/420 - Add the two like fractions:
105/420 + 2058/420 = 105 + 2058/420 = 2163/420 - 2163/420 simplified gives 103/20
- So, 21/84 + 49/10 = 103/20
In mixed form: 53/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+49/10 21/84+98/10 21/84+49/20 63/84+49/10 21/84+49/30 21/84+49/50 21/84+49/70