Answers

Add 10/21 and 7/45

10/21 + 7/45 is 199/315.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 45 is 315
   
   Next, find the equivalent fraction of both fractional numbers with denominator 315
2. For the 1st fraction, since 21 × 15 = 315,
   10/21 = 10 × 15/21 × 15 = 150/315
3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
   7/45 = 7 × 7/45 × 7 = 49/315
4. Add the two like fractions:
   150/315 + 49/315 = 150 + 49/315 = 199/315
5. So, 10/21 + 7/45 = 199/315

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