What is 19/46 Divided By 6/9

Answer: 1946÷69\frac{19}{46}\div\frac{6}{9} = 5792\frac{57}{92}

Solving 1946÷69\frac{19}{46}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1946÷69=1946×96\frac{19}{46} \div \frac{6}{9} = \frac{19}{46} \times \frac{9}{6}

  • Multiply the Numerators: 19×9=17119 \times 9 = 171
  • Multiply the Denominators: 46×6=27646 \times 6 = 276
  • Form the New Fraction: 1946×69=171276\frac{19}{46} \times \frac{6}{9} = \frac{171}{276}

Let's Simplify 171276\frac{171}{276}

  • Find the Greatest Common Divisor (GCD) of 171171 and 276276. The GCD of 171171 and 276276 is 33.
  • Divide both the numerator and the denominator by the GCD:171÷3276÷3=5792\frac{171 \div 3}{276 \div 3} = \frac{57}{92}

Answer 1946÷69=5792\frac{19}{46}\div\frac{6}{9} = \frac{57}{92}


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!