What is 17/60 Divided By 7/5

Answer: 1760÷75\frac{17}{60}\div\frac{7}{5} = 1784\frac{17}{84}

Solving 1760÷75\frac{17}{60}\div\frac{7}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

1760÷75=1760×57\frac{17}{60} \div \frac{7}{5} = \frac{17}{60} \times \frac{5}{7}

  • Multiply the Numerators: 17×5=8517 \times 5 = 85
  • Multiply the Denominators: 60×7=42060 \times 7 = 420
  • Form the New Fraction: 1760×75=85420\frac{17}{60} \times \frac{7}{5} = \frac{85}{420}

Let's Simplify 85420\frac{85}{420}

  • Find the Greatest Common Divisor (GCD) of 8585 and 420420. The GCD of 8585 and 420420 is 55.
  • Divide both the numerator and the denominator by the GCD:85÷5420÷5=1784\frac{85 \div 5}{420 \div 5} = \frac{17}{84}

Answer 1760÷75=1784\frac{17}{60}\div\frac{7}{5} = \frac{17}{84}


The following animation demonstrates the divide-by,

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