Add 42/5 and 7/84
1st number: 8 2/5, 2nd number: 7/84
42/5 + 7/84 is 509/60.
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,
7/84 = 7 × 5/84 × 5 = 35/420 - Add the two like fractions:
3528/420 + 35/420 = 3528 + 35/420 = 3563/420 - 3563/420 simplified gives 509/60
- So, 42/5 + 7/84 = 509/60
In mixed form: 829/60
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