Add 30/63 and 45/42
1st number: 30/63, 2nd number: 1 3/42
30/63 + 45/42 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 63 × 2 = 126,
30/63 = 30 × 2/63 × 2 = 60/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
45/42 = 45 × 3/42 × 3 = 135/126 - Add the two like fractions:
60/126 + 135/126 = 60 + 135/126 = 195/126 - 195/126 simplified gives 65/42
- So, 30/63 + 45/42 = 65/42
In mixed form: 123/42
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