Add 40/30 and 30/42
1st number: 1 10/30, 2nd number: 30/42
40/30 + 30/42 is 43/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
280/210 + 150/210 = 280 + 150/210 = 430/210 - 430/210 simplified gives 43/21
- So, 40/30 + 30/42 = 43/21
In mixed form: 21/21
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