What is 46/38 Divided By 9/2

Answer: 4638÷92\frac{46}{38}\div\frac{9}{2} = 46171\frac{46}{171}

Solving 4638÷92\frac{46}{38}\div\frac{9}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

4638÷92=4638×29\frac{46}{38} \div \frac{9}{2} = \frac{46}{38} \times \frac{2}{9}

  • Multiply the Numerators: 46×2=9246 \times 2 = 92
  • Multiply the Denominators: 38×9=34238 \times 9 = 342
  • Form the New Fraction: 4638×92=92342\frac{46}{38} \times \frac{9}{2} = \frac{92}{342}

Let's Simplify 92342\frac{92}{342}

  • Find the Greatest Common Divisor (GCD) of 9292 and 342342. The GCD of 9292 and 342342 is 22.
  • Divide both the numerator and the denominator by the GCD:92÷2342÷2=46171\frac{92 \div 2}{342 \div 2} = \frac{46}{171}

Answer 4638÷92=46171\frac{46}{38}\div\frac{9}{2} = \frac{46}{171}


The following animation demonstrates the divide-by,

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