Add 40/42 and 12/30
40/42 + 12/30 is 142/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
12/30 = 12 × 7/30 × 7 = 84/210 - Add the two like fractions:
200/210 + 84/210 = 200 + 84/210 = 284/210 - 284/210 simplified gives 142/105
- So, 40/42 + 12/30 = 142/105
In mixed form: 137/105
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