Answers

Add 45/75 and 40/63

45/75 + 40/63 is 389/315.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 63 is 1575
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1575
2. For the 1st fraction, since 75 × 21 = 1575,
   45/75 = 45 × 21/75 × 21 = 945/1575
3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
   40/63 = 40 × 25/63 × 25 = 1000/1575
4. Add the two like fractions:
   945/1575 + 1000/1575 = 945 + 1000/1575 = 1945/1575
5. 1945/1575 simplified gives 389/315
6. So, 45/75 + 40/63 = 389/315
   In mixed form: 174/315

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