Add 40/6 and 75/7
1st number: 6 4/6, 2nd number: 10 5/7
40/6 + 75/7 is 365/21.
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,
40/6 = 40 × 7/6 × 7 = 280/42 - Likewise, for the 2nd fraction, since 7 × 6 = 42,
75/7 = 75 × 6/7 × 6 = 450/42 - Add the two like fractions:
280/42 + 450/42 = 280 + 450/42 = 730/42 - 730/42 simplified gives 365/21
- So, 40/6 + 75/7 = 365/21
In mixed form: 178/21
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