What is 34/75 Divided By 4/6

Answer: 3475÷46\frac{34}{75}\div\frac{4}{6} = 1725\frac{17}{25}

Solving 3475÷46\frac{34}{75}\div\frac{4}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

3475÷46=3475×64\frac{34}{75} \div \frac{4}{6} = \frac{34}{75} \times \frac{6}{4}

  • Multiply the Numerators: 34×6=20434 \times 6 = 204
  • Multiply the Denominators: 75×4=30075 \times 4 = 300
  • Form the New Fraction: 3475×46=204300\frac{34}{75} \times \frac{4}{6} = \frac{204}{300}

Let's Simplify 204300\frac{204}{300}

  • Find the Greatest Common Divisor (GCD) of 204204 and 300300. The GCD of 204204 and 300300 is 1212.
  • Divide both the numerator and the denominator by the GCD:204÷12300÷12=1725\frac{204 \div 12}{300 \div 12} = \frac{17}{25}

Answer 3475÷46=1725\frac{34}{75}\div\frac{4}{6} = \frac{17}{25}


The following animation demonstrates the divide-by,

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