What is 38/42 Divided By 3/1

Answer: 3842÷31\frac{38}{42}\div\frac{3}{1} = 1963\frac{19}{63}

Solving 3842÷31\frac{38}{42}\div\frac{3}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3842÷31=3842×13\frac{38}{42} \div \frac{3}{1} = \frac{38}{42} \times \frac{1}{3}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 42×3=12642 \times 3 = 126
  • Form the New Fraction: 3842×31=38126\frac{38}{42} \times \frac{3}{1} = \frac{38}{126}

Let's Simplify 38126\frac{38}{126}

  • Find the Greatest Common Divisor (GCD) of 3838 and 126126. The GCD of 3838 and 126126 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2126÷2=1963\frac{38 \div 2}{126 \div 2} = \frac{19}{63}

Answer 3842÷31=1963\frac{38}{42}\div\frac{3}{1} = \frac{19}{63}


The following animation demonstrates the divide-by,

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