What is 12/95 Divided By 4/7

Answer: 1295÷47\frac{12}{95}\div\frac{4}{7} = 2195\frac{21}{95}

Solving 1295÷47\frac{12}{95}\div\frac{4}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1295÷47=1295×74\frac{12}{95} \div \frac{4}{7} = \frac{12}{95} \times \frac{7}{4}

  • Multiply the Numerators: 12×7=8412 \times 7 = 84
  • Multiply the Denominators: 95×4=38095 \times 4 = 380
  • Form the New Fraction: 1295×47=84380\frac{12}{95} \times \frac{4}{7} = \frac{84}{380}

Let's Simplify 84380\frac{84}{380}

  • Find the Greatest Common Divisor (GCD) of 8484 and 380380. The GCD of 8484 and 380380 is 44.
  • Divide both the numerator and the denominator by the GCD:84÷4380÷4=2195\frac{84 \div 4}{380 \div 4} = \frac{21}{95}

Answer 1295÷47=2195\frac{12}{95}\div\frac{4}{7} = \frac{21}{95}


The following animation demonstrates the divide-by,

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