Add 40/42 and 90/27
1st number: 40/42, 2nd number: 3 9/27
40/42 + 90/27 is 30/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 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 27 × 14 = 378,
90/27 = 90 × 14/27 × 14 = 1260/378 - Add the two like fractions:
360/378 + 1260/378 = 360 + 1260/378 = 1620/378 - 1620/378 simplified gives 30/7
- So, 40/42 + 90/27 = 30/7
In mixed form: 42/7
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