Add 84/5 and 20/42
1st number: 16 4/5, 2nd number: 20/42
84/5 + 20/42 is 1814/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
84/5 = 84 × 42/5 × 42 = 3528/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
20/42 = 20 × 5/42 × 5 = 100/210 - Add the two like fractions:
3528/210 + 100/210 = 3528 + 100/210 = 3628/210 - 3628/210 simplified gives 1814/105
- So, 84/5 + 20/42 = 1814/105
In mixed form: 1729/105
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