Add 75/84 and 30/21
1st number: 75/84, 2nd number: 1 9/21
75/84 + 30/21 is 65/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
75/84 = 75 × 1/84 × 1 = 75/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Add the two like fractions:
75/84 + 120/84 = 75 + 120/84 = 195/84 - 195/84 simplified gives 65/28
- So, 75/84 + 30/21 = 65/28
In mixed form: 29/28
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