What is 46/38 Divided By 3/7

Answer: 4638÷37\frac{46}{38}\div\frac{3}{7} = 16157\frac{161}{57}

Solving 4638÷37\frac{46}{38}\div\frac{3}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

4638÷37=4638×73\frac{46}{38} \div \frac{3}{7} = \frac{46}{38} \times \frac{7}{3}

  • Multiply the Numerators: 46×7=32246 \times 7 = 322
  • Multiply the Denominators: 38×3=11438 \times 3 = 114
  • Form the New Fraction: 4638×37=322114\frac{46}{38} \times \frac{3}{7} = \frac{322}{114}

Let's Simplify 322114\frac{322}{114}

  • Find the Greatest Common Divisor (GCD) of 322322 and 114114. The GCD of 322322 and 114114 is 22.
  • Divide both the numerator and the denominator by the GCD:322÷2114÷2=16157\frac{322 \div 2}{114 \div 2} = \frac{161}{57}

Answer 4638÷37=16157\frac{46}{38}\div\frac{3}{7} = \frac{161}{57}


The following animation demonstrates the divide-by,

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