Answers

Add 30/84 and 84/90

30/84 + 84/90 is 271/210.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 90 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 84 × 15 = 1260,
   30/84 = 30 × 15/84 × 15 = 450/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   84/90 = 84 × 14/90 × 14 = 1176/1260
4. Add the two like fractions:
   450/1260 + 1176/1260 = 450 + 1176/1260 = 1626/1260
5. 1626/1260 simplified gives 271/210
6. So, 30/84 + 84/90 = 271/210
   In mixed form: 161/210

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