What is 19/95 Divided By 3/4

Answer: 1995÷34\frac{19}{95}\div\frac{3}{4} = 415\frac{4}{15}

Solving 1995÷34\frac{19}{95}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

1995÷34=1995×43\frac{19}{95} \div \frac{3}{4} = \frac{19}{95} \times \frac{4}{3}

  • Multiply the Numerators: 19×4=7619 \times 4 = 76
  • Multiply the Denominators: 95×3=28595 \times 3 = 285
  • Form the New Fraction: 1995×34=76285\frac{19}{95} \times \frac{3}{4} = \frac{76}{285}

Let's Simplify 76285\frac{76}{285}

  • Find the Greatest Common Divisor (GCD) of 7676 and 285285. The GCD of 7676 and 285285 is 1919.
  • Divide both the numerator and the denominator by the GCD:76÷19285÷19=415\frac{76 \div 19}{285 \div 19} = \frac{4}{15}

Answer 1995÷34=415\frac{19}{95}\div\frac{3}{4} = \frac{4}{15}


The following animation demonstrates the divide-by,

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