What is 18/27 Divided By 7/8

Solving $\frac{18}{27}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{27} \div \frac{7}{8} = \frac{18}{27} \times \frac{8}{7}$

• Multiply the Numerators: $18 \times 8 = 144$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{18}{27} \times \frac{7}{8} = \frac{144}{189}$

Let's Simplify $\frac{144}{189}$

• Find the Greatest Common Divisor (GCD) of $144$ and $189$. The GCD of $144$ and $189$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{189 \div 9} = \frac{16}{21}$

Answer $\frac{18}{27}\div\frac{7}{8} = \frac{16}{21}$

The following animation demonstrates the divide-by,