Add 30/42 and 20/63
30/42 + 20/63 is 65/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
20/63 = 20 × 2/63 × 2 = 40/126 - Add the two like fractions:
90/126 + 40/126 = 90 + 40/126 = 130/126 - 130/126 simplified gives 65/63
- So, 30/42 + 20/63 = 65/63
In mixed form: 12/63
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