What is 34/53 Divided By 4/5

Answer: 3453÷45\frac{34}{53}\div\frac{4}{5} = 85106\frac{85}{106}

Solving 3453÷45\frac{34}{53}\div\frac{4}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

3453÷45=3453×54\frac{34}{53} \div \frac{4}{5} = \frac{34}{53} \times \frac{5}{4}

  • Multiply the Numerators: 34×5=17034 \times 5 = 170
  • Multiply the Denominators: 53×4=21253 \times 4 = 212
  • Form the New Fraction: 3453×45=170212\frac{34}{53} \times \frac{4}{5} = \frac{170}{212}

Let's Simplify 170212\frac{170}{212}

  • Find the Greatest Common Divisor (GCD) of 170170 and 212212. The GCD of 170170 and 212212 is 22.
  • Divide both the numerator and the denominator by the GCD:170÷2212÷2=85106\frac{170 \div 2}{212 \div 2} = \frac{85}{106}

Answer 3453÷45=85106\frac{34}{53}\div\frac{4}{5} = \frac{85}{106}


The following animation demonstrates the divide-by,

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