Add 35/84 and 42/5
1st number: 35/84, 2nd number: 8 2/5
35/84 + 42/5 is 529/60.
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,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
42/5 = 42 × 84/5 × 84 = 3528/420 - Add the two like fractions:
175/420 + 3528/420 = 175 + 3528/420 = 3703/420 - 3703/420 simplified gives 529/60
- So, 35/84 + 42/5 = 529/60
In mixed form: 849/60
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