Add 21/30 and 42/63
21/30 + 42/63 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 63 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 30 × 21 = 630,
21/30 = 21 × 21/30 × 21 = 441/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
42/63 = 42 × 10/63 × 10 = 420/630 - Add the two like fractions:
441/630 + 420/630 = 441 + 420/630 = 861/630 - 861/630 simplified gives 41/30
- So, 21/30 + 42/63 = 41/30
In mixed form: 111/30
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