Add 42/9 and 75/84
1st number: 4 6/9, 2nd number: 75/84
42/9 + 75/84 is 467/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
75/84 = 75 × 3/84 × 3 = 225/252 - Add the two like fractions:
1176/252 + 225/252 = 1176 + 225/252 = 1401/252 - 1401/252 simplified gives 467/84
- So, 42/9 + 75/84 = 467/84
In mixed form: 547/84
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