Add 40/42 and 75/54
1st number: 40/42, 2nd number: 1 21/54
40/42 + 75/54 is 295/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378 - Add the two like fractions:
360/378 + 525/378 = 360 + 525/378 = 885/378 - 885/378 simplified gives 295/126
- So, 40/42 + 75/54 = 295/126
In mixed form: 243/126
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