What is 27/46 Divided By 5/8

Solving $\frac{27}{46}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{46} \div \frac{5}{8} = \frac{27}{46} \times \frac{8}{5}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{27}{46} \times \frac{5}{8} = \frac{216}{230}$

Let's Simplify $\frac{216}{230}$

• Find the Greatest Common Divisor (GCD) of $216$ and $230$. The GCD of $216$ and $230$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 2}{230 \div 2} = \frac{108}{115}$

Answer $\frac{27}{46}\div\frac{5}{8} = \frac{108}{115}$

The following animation demonstrates the divide-by,