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Perform the operation and simplify the answer fully.

(1)/(2)÷(7)/(5)
Answer:

Perform the operation and simplify the answer fully.\newline12÷75 \frac{1}{2} \div \frac{7}{5} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline12÷75 \frac{1}{2} \div \frac{7}{5} \newlineAnswer:
  1. Understand division of fractions: Understand the division of fractions.\newlineTo divide by a fraction, you multiply by its reciprocal.\newline(12)÷(75)(\frac{1}{2}) \div (\frac{7}{5}) is the same as (12)×(57)(\frac{1}{2}) \times (\frac{5}{7}).
  2. Multiply numerators and denominators: Multiply the numerators and denominators.\newline(12)×(57)=(1×52×7)(\frac{1}{2}) \times (\frac{5}{7}) = (\frac{1\times5}{2\times7})
  3. Perform the multiplication: Perform the multiplication. (1×5)/(2×7)=5/14(1 \times 5) / (2 \times 7) = 5 / 14
  4. Check for simplification: Check if the fraction can be simplified. 55 and 1414 have no common factors other than 11, so the fraction is already in its simplest form.

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