What is 54/93 Divided By 6/7

Solving $\frac{54}{93}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{93} \div \frac{6}{7} = \frac{54}{93} \times \frac{7}{6}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $93 \times 6 = 558$
• Form the New Fraction: $\frac{54}{93} \times \frac{6}{7} = \frac{378}{558}$

Let's Simplify $\frac{378}{558}$

• Find the Greatest Common Divisor (GCD) of $378$ and $558$. The GCD of $378$ and $558$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 18}{558 \div 18} = \frac{21}{31}$

Answer $\frac{54}{93}\div\frac{6}{7} = \frac{21}{31}$

The following animation demonstrates the divide-by,