What is 27/70 Divided By 7/8

Solving $\frac{27}{70}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{70} \div \frac{7}{8} = \frac{27}{70} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{27}{70} \times \frac{7}{8} = \frac{216}{490}$

Let's Simplify $\frac{216}{490}$

• Find the Greatest Common Divisor (GCD) of $216$ and $490$. The GCD of $216$ and $490$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 2}{490 \div 2} = \frac{108}{245}$

Answer $\frac{27}{70}\div\frac{7}{8} = \frac{108}{245}$

The following animation demonstrates the divide-by,