Add 35/84 and 35/10
1st number: 35/84, 2nd number: 3 5/10
35/84 + 35/10 is 47/12.
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,
35/10 = 35 × 42/10 × 42 = 1470/420 - Add the two like fractions:
175/420 + 1470/420 = 175 + 1470/420 = 1645/420 - 1645/420 simplified gives 47/12
- So, 35/84 + 35/10 = 47/12
In mixed form: 311/12
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