Add 35/4 and 42/21
1st number: 8 3/4, 2nd number: 2 0/21
35/4 + 42/21 is 43/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
35/4 = 35 × 21/4 × 21 = 735/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
42/21 = 42 × 4/21 × 4 = 168/84 - Add the two like fractions:
735/84 + 168/84 = 735 + 168/84 = 903/84 - 903/84 simplified gives 43/4
- So, 35/4 + 42/21 = 43/4
In mixed form: 103/4
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