Answers

Add 45/63 and 20/30

45/63 + 20/30 is 29/21.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 63 and 30 is 630
   
   Next, find the equivalent fraction of both fractional numbers with denominator 630
2. For the 1st fraction, since 63 × 10 = 630,
   45/63 = 45 × 10/63 × 10 = 450/630
3. Likewise, for the 2nd fraction, since 30 × 21 = 630,
   20/30 = 20 × 21/30 × 21 = 420/630
4. Add the two like fractions:
   450/630 + 420/630 = 450 + 420/630 = 870/630
5. 870/630 simplified gives 29/21
6. So, 45/63 + 20/30 = 29/21
   In mixed form: 18/21

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