Add 45/63 and 21/42
45/63 + 21/42 is 17/14.
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,
45/63 = 45 × 2/63 × 2 = 90/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
90/126 + 63/126 = 90 + 63/126 = 153/126 - 153/126 simplified gives 17/14
- So, 45/63 + 21/42 = 17/14
In mixed form: 13/14
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