Add 42/5 and 3/84
1st number: 8 2/5, 2nd number: 3/84
42/5 + 3/84 is 1181/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
42/5 = 42 × 84/5 × 84 = 3528/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
3/84 = 3 × 5/84 × 5 = 15/420 - Add the two like fractions:
3528/420 + 15/420 = 3528 + 15/420 = 3543/420 - 3543/420 simplified gives 1181/140
- So, 42/5 + 3/84 = 1181/140
In mixed form: 861/140
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