Add 36/42 and 49/63
36/42 + 49/63 is 103/63.
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,
36/42 = 36 × 3/42 × 3 = 108/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
49/63 = 49 × 2/63 × 2 = 98/126 - Add the two like fractions:
108/126 + 98/126 = 108 + 98/126 = 206/126 - 206/126 simplified gives 103/63
- So, 36/42 + 49/63 = 103/63
In mixed form: 140/63
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