Add 20/30 and 40/63
20/30 + 40/63 is 82/63.
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,
20/30 = 20 × 21/30 × 21 = 420/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
40/63 = 40 × 10/63 × 10 = 400/630 - Add the two like fractions:
420/630 + 400/630 = 420 + 400/630 = 820/630 - 820/630 simplified gives 82/63
- So, 20/30 + 40/63 = 82/63
In mixed form: 119/63
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