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34=13p1\frac{3}{4}=\frac{1}{3}p-1

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Q. 34=13p1\frac{3}{4}=\frac{1}{3}p-1
  1. Isolate term with p: First, let's isolate the term with p on one side of the equation by adding 11 to both sides.\newline34+1=13p\frac{3}{4} + 1 = \frac{1}{3}p
  2. Convert 11 to fraction: Now, we need to convert 11 to a fraction with a common denominator with 34\frac{3}{4}, which is 44. \newline34+44=13p\frac{3}{4} + \frac{4}{4} = \frac{1}{3}p
  3. Add fractions: Add the fractions on the left side.\newline(3+4)/4=13p(3 + 4)/4 = \frac{1}{3}p
  4. Simplify fraction: Simplify the fraction. 74=13p\frac{7}{4} = \frac{1}{3}p
  5. Multiply by reciprocal: To solve for pp, we multiply both sides by the reciprocal of 13\frac{1}{3}, which is 33.74×3=p\frac{7}{4} \times 3 = p
  6. Multiply by 33: Now, multiply 74\frac{7}{4} by 33.\newline74×3=214\frac{7}{4} \times 3 = \frac{21}{4}

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