Add 45/27 and 40/42
1st number: 1 18/27, 2nd number: 40/42
45/27 + 40/42 is 55/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
45/27 = 45 × 14/27 × 14 = 630/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
630/378 + 360/378 = 630 + 360/378 = 990/378 - 990/378 simplified gives 55/21
- So, 45/27 + 40/42 = 55/21
In mixed form: 213/21
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