What is 38/28 Divided By 4/1

Answer: 3828÷41\frac{38}{28}\div\frac{4}{1} = 1956\frac{19}{56}

Solving 3828÷41\frac{38}{28}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3828÷41=3828×14\frac{38}{28} \div \frac{4}{1} = \frac{38}{28} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 28×4=11228 \times 4 = 112
  • Form the New Fraction: 3828×41=38112\frac{38}{28} \times \frac{4}{1} = \frac{38}{112}

Let's Simplify 38112\frac{38}{112}

  • Find the Greatest Common Divisor (GCD) of 3838 and 112112. The GCD of 3838 and 112112 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2112÷2=1956\frac{38 \div 2}{112 \div 2} = \frac{19}{56}

Answer 3828÷41=1956\frac{38}{28}\div\frac{4}{1} = \frac{19}{56}


The following animation demonstrates the divide-by,

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