What is 57/45 Divided By 7/4

Answer: 5745÷74\frac{57}{45}\div\frac{7}{4} = 76105\frac{76}{105}

Solving 5745÷74\frac{57}{45}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

5745÷74=5745×47\frac{57}{45} \div \frac{7}{4} = \frac{57}{45} \times \frac{4}{7}

  • Multiply the Numerators: 57×4=22857 \times 4 = 228
  • Multiply the Denominators: 45×7=31545 \times 7 = 315
  • Form the New Fraction: 5745×74=228315\frac{57}{45} \times \frac{7}{4} = \frac{228}{315}

Let's Simplify 228315\frac{228}{315}

  • Find the Greatest Common Divisor (GCD) of 228228 and 315315. The GCD of 228228 and 315315 is 33.
  • Divide both the numerator and the denominator by the GCD:228÷3315÷3=76105\frac{228 \div 3}{315 \div 3} = \frac{76}{105}

Answer 5745÷74=76105\frac{57}{45}\div\frac{7}{4} = \frac{76}{105}


The following animation demonstrates the divide-by,

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