Add 30/84 and 21/5
1st number: 30/84, 2nd number: 4 1/5
30/84 + 21/5 is 319/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 5 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
21/5 = 21 × 84/5 × 84 = 1764/420 - Add the two like fractions:
150/420 + 1764/420 = 150 + 1764/420 = 1914/420 - 1914/420 simplified gives 319/70
- So, 30/84 + 21/5 = 319/70
In mixed form: 439/70
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