Add 75/4 and 35/21
1st number: 18 3/4, 2nd number: 1 14/21
75/4 + 35/21 is 245/12.
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,
75/4 = 75 × 21/4 × 21 = 1575/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
35/21 = 35 × 4/21 × 4 = 140/84 - Add the two like fractions:
1575/84 + 140/84 = 1575 + 140/84 = 1715/84 - 1715/84 simplified gives 245/12
- So, 75/4 + 35/21 = 245/12
In mixed form: 205/12
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