Add 30/42 and 45/54
30/42 + 45/54 is 65/42.
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,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378 - Add the two like fractions:
270/378 + 315/378 = 270 + 315/378 = 585/378 - 585/378 simplified gives 65/42
- So, 30/42 + 45/54 = 65/42
In mixed form: 123/42
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