What is 27/46 Divided By 9/7

Solving $\frac{27}{46}\div\frac{9}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{46} \div \frac{9}{7} = \frac{27}{46} \times \frac{7}{9}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{27}{46} \times \frac{9}{7} = \frac{189}{414}$

Let's Simplify $\frac{189}{414}$

• Find the Greatest Common Divisor (GCD) of $189$ and $414$. The GCD of $189$ and $414$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 9}{414 \div 9} = \frac{21}{46}$

Answer $\frac{27}{46}\div\frac{9}{7} = \frac{21}{46}$

The following animation demonstrates the divide-by,