Add 21/5 and 27/84
1st number: 4 1/5, 2nd number: 27/84
21/5 + 27/84 is 633/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
21/5 = 21 × 84/5 × 84 = 1764/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Add the two like fractions:
1764/420 + 135/420 = 1764 + 135/420 = 1899/420 - 1899/420 simplified gives 633/140
- So, 21/5 + 27/84 = 633/140
In mixed form: 473/140
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