Add 21/84 and 42/5
1st number: 21/84, 2nd number: 8 2/5
21/84 + 42/5 is 173/20.
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,
21/84 = 21 × 5/84 × 5 = 105/420 - Likewise, for the 2nd fraction, since 5 × 84 = 420,
42/5 = 42 × 84/5 × 84 = 3528/420 - Add the two like fractions:
105/420 + 3528/420 = 105 + 3528/420 = 3633/420 - 3633/420 simplified gives 173/20
- So, 21/84 + 42/5 = 173/20
In mixed form: 813/20
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