Add 54/63 and 40/42
54/63 + 40/42 is 38/21.
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,
54/63 = 54 × 2/63 × 2 = 108/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
108/126 + 120/126 = 108 + 120/126 = 228/126 - 228/126 simplified gives 38/21
- So, 54/63 + 40/42 = 38/21
In mixed form: 117/21
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