Add 45/27 and 1/42
1st number: 1 18/27, 2nd number: 1/42
45/27 + 1/42 is 71/42.
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,
1/42 = 1 × 9/42 × 9 = 9/378 - Add the two like fractions:
630/378 + 9/378 = 630 + 9/378 = 639/378 - 639/378 simplified gives 71/42
- So, 45/27 + 1/42 = 71/42
In mixed form: 129/42
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