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Divide 3/4 by 2/5 and simplify

Worked through step by step. More fractions.

Answer
158\boxed{\frac{15}{8}}

Checking the result, multiplying 158\frac{15}{8} by 25\frac{2}{5} gives 3040\frac{30}{40}, which simplifies back to 34\frac{3}{4}.

Problem: Divide 34\frac{3}{4} by 25\frac{2}{5} and simplify the result.

Steps

  1. Multiply by the reciprocal
    34×52\frac{3}{4} \times \frac{5}{2}
  2. Multiply numerators and denominators
    3×54×2\frac{3 \times 5}{4 \times 2}
  3. Simplify the expression
    158\frac{15}{8}

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