Answers

Add 30/42 and 56/75

30/42 + 56/75 is 767/525.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 75 is 1050
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1050
2. For the 1st fraction, since 42 × 25 = 1050,
   30/42 = 30 × 25/42 × 25 = 750/1050
3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
   56/75 = 56 × 14/75 × 14 = 784/1050
4. Add the two like fractions:
   750/1050 + 784/1050 = 750 + 784/1050 = 1534/1050
5. 1534/1050 simplified gives 767/525
6. So, 30/42 + 56/75 = 767/525
   In mixed form: 1242/525

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