Add 30/6 and 40/7
1st number: 5 0/6, 2nd number: 5 5/7
30/6 + 40/7 is 75/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 7 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
30/6 = 30 × 7/6 × 7 = 210/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
40/7 = 40 × 6/7 × 6 = 240/42 - Add the two like fractions:
210/42 + 240/42 = 210 + 240/42 = 450/42 - 450/42 simplified gives 75/7
- So, 30/6 + 40/7 = 75/7
In mixed form: 105/7
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