What is 45/70 Divided By 3/7

Answer: 4570÷37\frac{45}{70}\div\frac{3}{7} = 32\frac{3}{2}

Solving 4570÷37\frac{45}{70}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

4570÷37=4570×73\frac{45}{70} \div \frac{3}{7} = \frac{45}{70} \times \frac{7}{3}

  • Multiply the Numerators: 45×7=31545 \times 7 = 315
  • Multiply the Denominators: 70×3=21070 \times 3 = 210
  • Form the New Fraction: 4570×37=315210\frac{45}{70} \times \frac{3}{7} = \frac{315}{210}

Let's Simplify 315210\frac{315}{210}

  • Find the Greatest Common Divisor (GCD) of 315315 and 210210. The GCD of 315315 and 210210 is 105105.
  • Divide both the numerator and the denominator by the GCD:315÷105210÷105=32\frac{315 \div 105}{210 \div 105} = \frac{3}{2}

Answer 4570÷37=32\frac{45}{70}\div\frac{3}{7} = \frac{3}{2}


The following animation demonstrates the divide-by,

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