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Evaluate. (3)/(4)÷(3)/(4)=

Evaluate.\newline34÷34= \frac{3}{4} \div \frac{3}{4}=

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Full solution

Q. Evaluate.\newline34÷34= \frac{3}{4} \div \frac{3}{4}=
  1. Understand the problem: Understand the problem.\newlineWe need to divide the fraction (34)(\frac{3}{4}) by another fraction (34)(\frac{3}{4}). This is the same as multiplying the first fraction by the reciprocal of the second fraction.
  2. Find the reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (34)(\frac{3}{4}) is (43)(\frac{4}{3}).
  3. Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(34)×(43)=3×44×3(\frac{3}{4}) \times (\frac{4}{3}) = \frac{3\times4}{4\times3}
  4. Perform multiplication: Perform the multiplication.\newline(3×4)/(4×3)=12/12(3\times4)/(4\times3) = 12/12
  5. Simplify result: Simplify the result. 1212\frac{12}{12} simplifies to 11, since any number divided by itself is 11.

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