Add 40/42 and 30/75
40/42 + 30/75 is 142/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Add the two like fractions:
1000/1050 + 420/1050 = 1000 + 420/1050 = 1420/1050 - 1420/1050 simplified gives 142/105
- So, 40/42 + 30/75 = 142/105
In mixed form: 137/105
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