What is 35/98 Divided By 3/5

Answer: 3598÷35\frac{35}{98}\div\frac{3}{5} = 2542\frac{25}{42}

Solving 3598÷35\frac{35}{98}\div\frac{3}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

3598÷35=3598×53\frac{35}{98} \div \frac{3}{5} = \frac{35}{98} \times \frac{5}{3}

  • Multiply the Numerators: 35×5=17535 \times 5 = 175
  • Multiply the Denominators: 98×3=29498 \times 3 = 294
  • Form the New Fraction: 3598×35=175294\frac{35}{98} \times \frac{3}{5} = \frac{175}{294}

Let's Simplify 175294\frac{175}{294}

  • Find the Greatest Common Divisor (GCD) of 175175 and 294294. The GCD of 175175 and 294294 is 77.
  • Divide both the numerator and the denominator by the GCD:175÷7294÷7=2542\frac{175 \div 7}{294 \div 7} = \frac{25}{42}

Answer 3598÷35=2542\frac{35}{98}\div\frac{3}{5} = \frac{25}{42}


The following animation demonstrates the divide-by,

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