Add 49/10 and 21/84
1st number: 4 9/10, 2nd number: 21/84
49/10 + 21/84 is 103/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
49/10 = 49 × 42/10 × 42 = 2058/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
2058/420 + 105/420 = 2058 + 105/420 = 2163/420 - 2163/420 simplified gives 103/20
- So, 49/10 + 21/84 = 103/20
In mixed form: 53/20
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