What is 83/45 Divided By 8/5

Answer: 8345÷85\frac{83}{45}\div\frac{8}{5} = 8372\frac{83}{72}

Solving 8345÷85\frac{83}{45}\div\frac{8}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

8345÷85=8345×58\frac{83}{45} \div \frac{8}{5} = \frac{83}{45} \times \frac{5}{8}

  • Multiply the Numerators: 83×5=41583 \times 5 = 415
  • Multiply the Denominators: 45×8=36045 \times 8 = 360
  • Form the New Fraction: 8345×85=415360\frac{83}{45} \times \frac{8}{5} = \frac{415}{360}

Let's Simplify 415360\frac{415}{360}

  • Find the Greatest Common Divisor (GCD) of 415415 and 360360. The GCD of 415415 and 360360 is 55.
  • Divide both the numerator and the denominator by the GCD:415÷5360÷5=8372\frac{415 \div 5}{360 \div 5} = \frac{83}{72}

Answer 8345÷85=8372\frac{83}{45}\div\frac{8}{5} = \frac{83}{72}


The following animation demonstrates the divide-by,

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