Answers

Add 45/84 and 24/30

45/84 + 24/30 is 187/140.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 30 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   45/84 = 45 × 5/84 × 5 = 225/420
3. Likewise, for the 2nd fraction, since 30 × 14 = 420,
   24/30 = 24 × 14/30 × 14 = 336/420
4. Add the two like fractions:
   225/420 + 336/420 = 225 + 336/420 = 561/420
5. 561/420 simplified gives 187/140
6. So, 45/84 + 24/30 = 187/140
   In mixed form: 147/140

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