What is 38/42 Divided By 4/1

Answer: 3842÷41\frac{38}{42}\div\frac{4}{1} = 1984\frac{19}{84}

Solving 3842÷41\frac{38}{42}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3842÷41=3842×14\frac{38}{42} \div \frac{4}{1} = \frac{38}{42} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 42×4=16842 \times 4 = 168
  • Form the New Fraction: 3842×41=38168\frac{38}{42} \times \frac{4}{1} = \frac{38}{168}

Let's Simplify 38168\frac{38}{168}

  • Find the Greatest Common Divisor (GCD) of 3838 and 168168. The GCD of 3838 and 168168 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2168÷2=1984\frac{38 \div 2}{168 \div 2} = \frac{19}{84}

Answer 3842÷41=1984\frac{38}{42}\div\frac{4}{1} = \frac{19}{84}


The following animation demonstrates the divide-by,

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