What is 18/70 Divided By 3/7

Answer: 1870÷37\frac{18}{70}\div\frac{3}{7} = 35\frac{3}{5}

Solving 1870÷37\frac{18}{70}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1870÷37=1870×73\frac{18}{70} \div \frac{3}{7} = \frac{18}{70} \times \frac{7}{3}

  • Multiply the Numerators: 18×7=12618 \times 7 = 126
  • Multiply the Denominators: 70×3=21070 \times 3 = 210
  • Form the New Fraction: 1870×37=126210\frac{18}{70} \times \frac{3}{7} = \frac{126}{210}

Let's Simplify 126210\frac{126}{210}

  • Find the Greatest Common Divisor (GCD) of 126126 and 210210. The GCD of 126126 and 210210 is 4242.
  • Divide both the numerator and the denominator by the GCD:126÷42210÷42=35\frac{126 \div 42}{210 \div 42} = \frac{3}{5}

Answer 1870÷37=35\frac{18}{70}\div\frac{3}{7} = \frac{3}{5}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!