What is 54/19 Divided By 6/7

Solving $\frac{54}{19}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{19} \div \frac{6}{7} = \frac{54}{19} \times \frac{7}{6}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $19 \times 6 = 114$
• Form the New Fraction: $\frac{54}{19} \times \frac{6}{7} = \frac{378}{114}$

Let's Simplify $\frac{378}{114}$

• Find the Greatest Common Divisor (GCD) of $378$ and $114$. The GCD of $378$ and $114$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 6}{114 \div 6} = \frac{63}{19}$

Answer $\frac{54}{19}\div\frac{6}{7} = \frac{63}{19}$

The following animation demonstrates the divide-by,