Add 10/3 and 49/42
1st number: 3 1/3, 2nd number: 1 7/42
10/3 + 49/42 is 9/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
10/3 = 10 × 14/3 × 14 = 140/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
49/42 = 49 × 1/42 × 1 = 49/42 - Add the two like fractions:
140/42 + 49/42 = 140 + 49/42 = 189/42 - 189/42 simplified gives 9/2
- So, 10/3 + 49/42 = 9/2
In mixed form: 41/2
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