Answers

Add 42/75 and 9/72

42/75 + 9/72 is 137/200.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 72 is 1800
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1800
2. For the 1st fraction, since 75 × 24 = 1800,
   42/75 = 42 × 24/75 × 24 = 1008/1800
3. Likewise, for the 2nd fraction, since 72 × 25 = 1800,
   9/72 = 9 × 25/72 × 25 = 225/1800
4. Add the two like fractions:
   1008/1800 + 225/1800 = 1008 + 225/1800 = 1233/1800
5. 1233/1800 simplified gives 137/200
6. So, 42/75 + 9/72 = 137/200

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