What is 57/45 Divided By 8/6

Answer: 5745÷86\frac{57}{45}\div\frac{8}{6} = 1920\frac{19}{20}

Solving 5745÷86\frac{57}{45}\div\frac{8}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

5745÷86=5745×68\frac{57}{45} \div \frac{8}{6} = \frac{57}{45} \times \frac{6}{8}

  • Multiply the Numerators: 57×6=34257 \times 6 = 342
  • Multiply the Denominators: 45×8=36045 \times 8 = 360
  • Form the New Fraction: 5745×86=342360\frac{57}{45} \times \frac{8}{6} = \frac{342}{360}

Let's Simplify 342360\frac{342}{360}

  • Find the Greatest Common Divisor (GCD) of 342342 and 360360. The GCD of 342342 and 360360 is 1818.
  • Divide both the numerator and the denominator by the GCD:342÷18360÷18=1920\frac{342 \div 18}{360 \div 18} = \frac{19}{20}

Answer 5745÷86=1920\frac{57}{45}\div\frac{8}{6} = \frac{19}{20}


The following animation demonstrates the divide-by,

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