What is 38/70 Divided By 3/9

Answer: 3870÷39\frac{38}{70}\div\frac{3}{9} = 5735\frac{57}{35}

Solving 3870÷39\frac{38}{70}\div\frac{3}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3870÷39=3870×93\frac{38}{70} \div \frac{3}{9} = \frac{38}{70} \times \frac{9}{3}

  • Multiply the Numerators: 38×9=34238 \times 9 = 342
  • Multiply the Denominators: 70×3=21070 \times 3 = 210
  • Form the New Fraction: 3870×39=342210\frac{38}{70} \times \frac{3}{9} = \frac{342}{210}

Let's Simplify 342210\frac{342}{210}

  • Find the Greatest Common Divisor (GCD) of 342342 and 210210. The GCD of 342342 and 210210 is 66.
  • Divide both the numerator and the denominator by the GCD:342÷6210÷6=5735\frac{342 \div 6}{210 \div 6} = \frac{57}{35}

Answer 3870÷39=5735\frac{38}{70}\div\frac{3}{9} = \frac{57}{35}


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!