Add 30/84 and 75/16
1st number: 30/84, 2nd number: 4 11/16
30/84 + 75/16 is 565/112.
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,
30/84 = 30 × 4/84 × 4 = 120/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
75/16 = 75 × 21/16 × 21 = 1575/336 - Add the two like fractions:
120/336 + 1575/336 = 120 + 1575/336 = 1695/336 - 1695/336 simplified gives 565/112
- So, 30/84 + 75/16 = 565/112
In mixed form: 55/112
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