What is 76/89 Divided By 4/7

Answer: 7689÷47\frac{76}{89}\div\frac{4}{7} = 13389\frac{133}{89}

Solving 7689÷47\frac{76}{89}\div\frac{4}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

7689÷47=7689×74\frac{76}{89} \div \frac{4}{7} = \frac{76}{89} \times \frac{7}{4}

  • Multiply the Numerators: 76×7=53276 \times 7 = 532
  • Multiply the Denominators: 89×4=35689 \times 4 = 356
  • Form the New Fraction: 7689×47=532356\frac{76}{89} \times \frac{4}{7} = \frac{532}{356}

Let's Simplify 532356\frac{532}{356}

  • Find the Greatest Common Divisor (GCD) of 532532 and 356356. The GCD of 532532 and 356356 is 44.
  • Divide both the numerator and the denominator by the GCD:532÷4356÷4=13389\frac{532 \div 4}{356 \div 4} = \frac{133}{89}

Answer 7689÷47=13389\frac{76}{89}\div\frac{4}{7} = \frac{133}{89}


The following animation demonstrates the divide-by,

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