What is 11/48 Divided By 5/9

Answer: 1148÷59\frac{11}{48}\div\frac{5}{9} = 3380\frac{33}{80}

Solving 1148÷59\frac{11}{48}\div\frac{5}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1148÷59=1148×95\frac{11}{48} \div \frac{5}{9} = \frac{11}{48} \times \frac{9}{5}

  • Multiply the Numerators: 11×9=9911 \times 9 = 99
  • Multiply the Denominators: 48×5=24048 \times 5 = 240
  • Form the New Fraction: 1148×59=99240\frac{11}{48} \times \frac{5}{9} = \frac{99}{240}

Let's Simplify 99240\frac{99}{240}

  • Find the Greatest Common Divisor (GCD) of 9999 and 240240. The GCD of 9999 and 240240 is 33.
  • Divide both the numerator and the denominator by the GCD:99÷3240÷3=3380\frac{99 \div 3}{240 \div 3} = \frac{33}{80}

Answer 1148÷59=3380\frac{11}{48}\div\frac{5}{9} = \frac{33}{80}


The following animation demonstrates the divide-by,

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