Add 35/84 and 30/10
1st number: 35/84, 2nd number: 3 0/10
35/84 + 30/10 is 41/12.
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,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
30/10 = 30 × 42/10 × 42 = 1260/420 - Add the two like fractions:
175/420 + 1260/420 = 175 + 1260/420 = 1435/420 - 1435/420 simplified gives 41/12
- So, 35/84 + 30/10 = 41/12
In mixed form: 35/12
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