What is 18/38 Divided By 2/5

Answer: 1838÷25\frac{18}{38}\div\frac{2}{5} = 4538\frac{45}{38}

Solving 1838÷25\frac{18}{38}\div\frac{2}{5}

  • Rewrite the Division as Multiplication by the Reciprocal:

1838÷25=1838×52\frac{18}{38} \div \frac{2}{5} = \frac{18}{38} \times \frac{5}{2}

  • Multiply the Numerators: 18×5=9018 \times 5 = 90
  • Multiply the Denominators: 38×2=7638 \times 2 = 76
  • Form the New Fraction: 1838×25=9076\frac{18}{38} \times \frac{2}{5} = \frac{90}{76}

Let's Simplify 9076\frac{90}{76}

  • Find the Greatest Common Divisor (GCD) of 9090 and 7676. The GCD of 9090 and 7676 is 22.
  • Divide both the numerator and the denominator by the GCD:90÷276÷2=4538\frac{90 \div 2}{76 \div 2} = \frac{45}{38}

Answer 1838÷25=4538\frac{18}{38}\div\frac{2}{5} = \frac{45}{38}


The following animation demonstrates the divide-by,

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