What is 81/45 Divided By 7/4

Answer: 8145÷74\frac{81}{45}\div\frac{7}{4} = 3635\frac{36}{35}

Solving 8145÷74\frac{81}{45}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

8145÷74=8145×47\frac{81}{45} \div \frac{7}{4} = \frac{81}{45} \times \frac{4}{7}

  • Multiply the Numerators: 81×4=32481 \times 4 = 324
  • Multiply the Denominators: 45×7=31545 \times 7 = 315
  • Form the New Fraction: 8145×74=324315\frac{81}{45} \times \frac{7}{4} = \frac{324}{315}

Let's Simplify 324315\frac{324}{315}

  • Find the Greatest Common Divisor (GCD) of 324324 and 315315. The GCD of 324324 and 315315 is 99.
  • Divide both the numerator and the denominator by the GCD:324÷9315÷9=3635\frac{324 \div 9}{315 \div 9} = \frac{36}{35}

Answer 8145÷74=3635\frac{81}{45}\div\frac{7}{4} = \frac{36}{35}


The following animation demonstrates the divide-by,

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