What is 18/45 Divided By 3/8

Answer: 1845÷38\frac{18}{45}\div\frac{3}{8} = 1615\frac{16}{15}

Solving 1845÷38\frac{18}{45}\div\frac{3}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1845÷38=1845×83\frac{18}{45} \div \frac{3}{8} = \frac{18}{45} \times \frac{8}{3}

  • Multiply the Numerators: 18×8=14418 \times 8 = 144
  • Multiply the Denominators: 45×3=13545 \times 3 = 135
  • Form the New Fraction: 1845×38=144135\frac{18}{45} \times \frac{3}{8} = \frac{144}{135}

Let's Simplify 144135\frac{144}{135}

  • Find the Greatest Common Divisor (GCD) of 144144 and 135135. The GCD of 144144 and 135135 is 99.
  • Divide both the numerator and the denominator by the GCD:144÷9135÷9=1615\frac{144 \div 9}{135 \div 9} = \frac{16}{15}

Answer 1845÷38=1615\frac{18}{45}\div\frac{3}{8} = \frac{16}{15}


The following animation demonstrates the divide-by,

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