What is 38/95 Divided By 4/9

Answer: 3895÷49\frac{38}{95}\div\frac{4}{9} = 910\frac{9}{10}

Solving 3895÷49\frac{38}{95}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

3895÷49=3895×94\frac{38}{95} \div \frac{4}{9} = \frac{38}{95} \times \frac{9}{4}

  • Multiply the Numerators: 38×9=34238 \times 9 = 342
  • Multiply the Denominators: 95×4=38095 \times 4 = 380
  • Form the New Fraction: 3895×49=342380\frac{38}{95} \times \frac{4}{9} = \frac{342}{380}

Let's Simplify 342380\frac{342}{380}

  • Find the Greatest Common Divisor (GCD) of 342342 and 380380. The GCD of 342342 and 380380 is 3838.
  • Divide both the numerator and the denominator by the GCD:342÷38380÷38=910\frac{342 \div 38}{380 \div 38} = \frac{9}{10}

Answer 3895÷49=910\frac{38}{95}\div\frac{4}{9} = \frac{9}{10}


The following animation demonstrates the divide-by,

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