What is 75/66 Divided By 5/3

Answer: 7566÷53\frac{75}{66}\div\frac{5}{3} = 1522\frac{15}{22}

Solving 7566÷53\frac{75}{66}\div\frac{5}{3}

  • Rewrite the Division as Multiplication by the Reciprocal:

7566÷53=7566×35\frac{75}{66} \div \frac{5}{3} = \frac{75}{66} \times \frac{3}{5}

  • Multiply the Numerators: 75×3=22575 \times 3 = 225
  • Multiply the Denominators: 66×5=33066 \times 5 = 330
  • Form the New Fraction: 7566×53=225330\frac{75}{66} \times \frac{5}{3} = \frac{225}{330}

Let's Simplify 225330\frac{225}{330}

  • Find the Greatest Common Divisor (GCD) of 225225 and 330330. The GCD of 225225 and 330330 is 1515.
  • Divide both the numerator and the denominator by the GCD:225÷15330÷15=1522\frac{225 \div 15}{330 \div 15} = \frac{15}{22}

Answer 7566÷53=1522\frac{75}{66}\div\frac{5}{3} = \frac{15}{22}


The following animation demonstrates the divide-by,

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