Add 30/84 and 21/10
1st number: 30/84, 2nd number: 2 1/10
30/84 + 21/10 is 86/35.
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,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
21/10 = 21 × 42/10 × 42 = 882/420 - Add the two like fractions:
150/420 + 882/420 = 150 + 882/420 = 1032/420 - 1032/420 simplified gives 86/35
- So, 30/84 + 21/10 = 86/35
In mixed form: 216/35
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