What is 38/46 Divided By 5/3

Answer: 3846÷53\frac{38}{46}\div\frac{5}{3} = 57115\frac{57}{115}

Solving 3846÷53\frac{38}{46}\div\frac{5}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

3846÷53=3846×35\frac{38}{46} \div \frac{5}{3} = \frac{38}{46} \times \frac{3}{5}

  • Multiply the Numerators: 38×3=11438 \times 3 = 114
  • Multiply the Denominators: 46×5=23046 \times 5 = 230
  • Form the New Fraction: 3846×53=114230\frac{38}{46} \times \frac{5}{3} = \frac{114}{230}

Let's Simplify 114230\frac{114}{230}

  • Find the Greatest Common Divisor (GCD) of 114114 and 230230. The GCD of 114114 and 230230 is 22.
  • Divide both the numerator and the denominator by the GCD:114÷2230÷2=57115\frac{114 \div 2}{230 \div 2} = \frac{57}{115}

Answer 3846÷53=57115\frac{38}{46}\div\frac{5}{3} = \frac{57}{115}


The following animation demonstrates the divide-by,

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