What is 12/57 Divided By 4/9

Answer: 1257÷49\frac{12}{57}\div\frac{4}{9} = 919\frac{9}{19}

Solving 1257÷49\frac{12}{57}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1257÷49=1257×94\frac{12}{57} \div \frac{4}{9} = \frac{12}{57} \times \frac{9}{4}

  • Multiply the Numerators: 12×9=10812 \times 9 = 108
  • Multiply the Denominators: 57×4=22857 \times 4 = 228
  • Form the New Fraction: 1257×49=108228\frac{12}{57} \times \frac{4}{9} = \frac{108}{228}

Let's Simplify 108228\frac{108}{228}

  • Find the Greatest Common Divisor (GCD) of 108108 and 228228. The GCD of 108108 and 228228 is 1212.
  • Divide both the numerator and the denominator by the GCD:108÷12228÷12=919\frac{108 \div 12}{228 \div 12} = \frac{9}{19}

Answer 1257÷49=919\frac{12}{57}\div\frac{4}{9} = \frac{9}{19}


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!