Add 75/84 and 9/16
75/84 + 9/16 is 163/112.
Steps for adding fractions
- 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,
9/16 = 9 × 21/16 × 21 = 189/336 - Add the two like fractions:
300/336 + 189/336 = 300 + 189/336 = 489/336 - 489/336 simplified gives 163/112
- So, 75/84 + 9/16 = 163/112
In mixed form: 151/112
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