What is 19/99 Divided By 8/9

Answer: 1999÷89\frac{19}{99}\div\frac{8}{9} = 1988\frac{19}{88}

Solving 1999÷89\frac{19}{99}\div\frac{8}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

1999÷89=1999×98\frac{19}{99} \div \frac{8}{9} = \frac{19}{99} \times \frac{9}{8}

  • Multiply the Numerators: 19×9=17119 \times 9 = 171
  • Multiply the Denominators: 99×8=79299 \times 8 = 792
  • Form the New Fraction: 1999×89=171792\frac{19}{99} \times \frac{8}{9} = \frac{171}{792}

Let's Simplify 171792\frac{171}{792}

  • Find the Greatest Common Divisor (GCD) of 171171 and 792792. The GCD of 171171 and 792792 is 99.
  • Divide both the numerator and the denominator by the GCD:171÷9792÷9=1988\frac{171 \div 9}{792 \div 9} = \frac{19}{88}

Answer 1999÷89=1988\frac{19}{99}\div\frac{8}{9} = \frac{19}{88}


The following animation demonstrates the divide-by,

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