What is 17/60 Divided By 7/6

Answer: 1760÷76\frac{17}{60}\div\frac{7}{6} = 1770\frac{17}{70}

Solving 1760÷76\frac{17}{60}\div\frac{7}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

1760÷76=1760×67\frac{17}{60} \div \frac{7}{6} = \frac{17}{60} \times \frac{6}{7}

  • Multiply the Numerators: 17×6=10217 \times 6 = 102
  • Multiply the Denominators: 60×7=42060 \times 7 = 420
  • Form the New Fraction: 1760×76=102420\frac{17}{60} \times \frac{7}{6} = \frac{102}{420}

Let's Simplify 102420\frac{102}{420}

  • Find the Greatest Common Divisor (GCD) of 102102 and 420420. The GCD of 102102 and 420420 is 66.
  • Divide both the numerator and the denominator by the GCD:102÷6420÷6=1770\frac{102 \div 6}{420 \div 6} = \frac{17}{70}

Answer 1760÷76=1770\frac{17}{60}\div\frac{7}{6} = \frac{17}{70}


The following animation demonstrates the divide-by,

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