Add 75/4 and 21/49
1st number: 18 3/4, 2nd number: 21/49
75/4 + 21/49 is 537/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
75/4 = 75 × 49/4 × 49 = 3675/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
21/49 = 21 × 4/49 × 4 = 84/196 - Add the two like fractions:
3675/196 + 84/196 = 3675 + 84/196 = 3759/196 - 3759/196 simplified gives 537/28
- So, 75/4 + 21/49 = 537/28
In mixed form: 195/28
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