Add 40/42 and 49/63
40/42 + 49/63 is 109/63.
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,
40/42 = 40 × 3/42 × 3 = 120/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
49/63 = 49 × 2/63 × 2 = 98/126 - Add the two like fractions:
120/126 + 98/126 = 120 + 98/126 = 218/126 - 218/126 simplified gives 109/63
- So, 40/42 + 49/63 = 109/63
In mixed form: 146/63
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