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Evaluate.

(1)/(3)÷(1)/(4)=

Evaluate.\newline13÷14= \frac{1}{3} \div \frac{1}{4}=

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Q. Evaluate.\newline13÷14= \frac{1}{3} \div \frac{1}{4}=
  1. Understanding Division by a Fraction: Understand that dividing by a fraction is the same as multiplying by its reciprocal.\newlineTo divide by (14)(\frac{1}{4}), we multiply by the reciprocal of (14)(\frac{1}{4}), which is (41)(\frac{4}{1}).
  2. Multiplying the Numerators: Multiply the numerators.\newlineEvaluate 1×41 \times 4.\newlineMultiply 11 and 44.\newline1×4=41 \times 4 = 4
  3. Multiplying the Denominators: Multiply the denominators.\newlineEvaluate 3×13 \times 1.\newlineMultiply 33 and 11.\newline3×1=33 \times 1 = 3
  4. Writing the Result in Simplest Form: Write the result in simplest form.\newlineWe have 44 as the numerator and 33 as the denominator.\newlineSo, (13)÷(14)=43(\frac{1}{3}) \div (\frac{1}{4}) = \frac{4}{3}

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