Add 40/6 and 30/21
1st number: 6 4/6, 2nd number: 1 9/21
40/6 + 30/21 is 170/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 21 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 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
280/42 + 60/42 = 280 + 60/42 = 340/42 - 340/42 simplified gives 170/21
- So, 40/6 + 30/21 = 170/21
In mixed form: 82/21
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