Add 10/3 and 40/42
1st number: 3 1/3, 2nd number: 40/42
10/3 + 40/42 is 30/7.
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,
40/42 = 40 × 1/42 × 1 = 40/42 - Add the two like fractions:
140/42 + 40/42 = 140 + 40/42 = 180/42 - 180/42 simplified gives 30/7
- So, 10/3 + 40/42 = 30/7
In mixed form: 42/7
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