What is 27/42 Divided By 8/7

Solving $\frac{27}{42}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{42} \div \frac{8}{7} = \frac{27}{42} \times \frac{7}{8}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $42 \times 8 = 336$
• Form the New Fraction: $\frac{27}{42} \times \frac{8}{7} = \frac{189}{336}$

Let's Simplify $\frac{189}{336}$

• Find the Greatest Common Divisor (GCD) of $189$ and $336$. The GCD of $189$ and $336$ is $21$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 21}{336 \div 21} = \frac{9}{16}$

Answer $\frac{27}{42}\div\frac{8}{7} = \frac{9}{16}$

The following animation demonstrates the divide-by,