Add 75/84 and 63/16, Solve 75/84 + 3 15/16 as a fraction

Add 75/84 and 63/16

1^st number: 75/84, 2^nd number: 3 15/16

75/84 + 63/16 is 541/112.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 16 is 336

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 84 × 4 = 336,
75/84 = 75 × 4/84 × 4 = 300/336
Likewise, for the 2nd fraction, since 16 × 21 = 336,
63/16 = 63 × 21/16 × 21 = 1323/336
Add the two like fractions:
300/336 + 1323/336 = 300 + 1323/336 = 1623/336
1623/336 simplified gives 541/112
So, 75/84 + 63/16 = 541/112
In mixed form: 493/112

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