What is 76/42 Divided By 7/4

Answer: 7642÷74\frac{76}{42}\div\frac{7}{4} = 152147\frac{152}{147}

Solving 7642÷74\frac{76}{42}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

7642÷74=7642×47\frac{76}{42} \div \frac{7}{4} = \frac{76}{42} \times \frac{4}{7}

  • Multiply the Numerators: 76×4=30476 \times 4 = 304
  • Multiply the Denominators: 42×7=29442 \times 7 = 294
  • Form the New Fraction: 7642×74=304294\frac{76}{42} \times \frac{7}{4} = \frac{304}{294}

Let's Simplify 304294\frac{304}{294}

  • Find the Greatest Common Divisor (GCD) of 304304 and 294294. The GCD of 304304 and 294294 is 22.
  • Divide both the numerator and the denominator by the GCD:304÷2294÷2=152147\frac{304 \div 2}{294 \div 2} = \frac{152}{147}

Answer 7642÷74=152147\frac{76}{42}\div\frac{7}{4} = \frac{152}{147}


The following animation demonstrates the divide-by,

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