Add 9/84 and 75/16, Solve 9/84 + 4 11/16 as a fraction

Add 9/84 and 75/16

1^st number: 9/84, 2^nd number: 4 11/16

9/84 + 75/16 is 537/112.

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,
9/84 = 9 × 4/84 × 4 = 36/336
Likewise, for the 2nd fraction, since 16 × 21 = 336,
75/16 = 75 × 21/16 × 21 = 1575/336
Add the two like fractions:
36/336 + 1575/336 = 36 + 1575/336 = 1611/336
1611/336 simplified gives 537/112
So, 9/84 + 75/16 = 537/112
In mixed form: 489/112

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