Add 12/15 and 40/42
12/15 + 40/42 is 184/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
12/15 = 12 × 14/15 × 14 = 168/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
168/210 + 200/210 = 168 + 200/210 = 368/210 - 368/210 simplified gives 184/105
- So, 12/15 + 40/42 = 184/105
In mixed form: 179/105
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