Answers

Add 30/84 and 32/40

30/84 + 32/40 is 81/70.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 40 is 840
   
   Next, find the equivalent fraction of both fractional numbers with denominator 840
2. For the 1st fraction, since 84 × 10 = 840,
   30/84 = 30 × 10/84 × 10 = 300/840
3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
   32/40 = 32 × 21/40 × 21 = 672/840
4. Add the two like fractions:
   300/840 + 672/840 = 300 + 672/840 = 972/840
5. 972/840 simplified gives 81/70
6. So, 30/84 + 32/40 = 81/70
   In mixed form: 111/70

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