Add 40/12 and 42/75
1st number: 3 4/12, 2nd number: 42/75
40/12 + 42/75 is 292/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
40/12 = 40 × 25/12 × 25 = 1000/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
42/75 = 42 × 4/75 × 4 = 168/300 - Add the two like fractions:
1000/300 + 168/300 = 1000 + 168/300 = 1168/300 - 1168/300 simplified gives 292/75
- So, 40/12 + 42/75 = 292/75
In mixed form: 367/75
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