Add 32/3 and 49/84
1st number: 10 2/3, 2nd number: 49/84
32/3 + 49/84 is 45/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
32/3 = 32 × 28/3 × 28 = 896/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
49/84 = 49 × 1/84 × 1 = 49/84 - Add the two like fractions:
896/84 + 49/84 = 896 + 49/84 = 945/84 - 945/84 simplified gives 45/4
- So, 32/3 + 49/84 = 45/4
In mixed form: 111/4
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