What is 57/19 Divided By 7/2

Solving $\frac{57}{19}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{19} \div \frac{7}{2} = \frac{57}{19} \times \frac{2}{7}$

• Multiply the Numerators: $57 \times 2 = 114$
• Multiply the Denominators: $19 \times 7 = 133$
• Form the New Fraction: $\frac{57}{19} \times \frac{7}{2} = \frac{114}{133}$

Let's Simplify $\frac{114}{133}$

• Find the Greatest Common Divisor (GCD) of $114$ and $133$. The GCD of $114$ and $133$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 19}{133 \div 19} = \frac{6}{7}$

Answer $\frac{57}{19}\div\frac{7}{2} = \frac{6}{7}$

The following animation demonstrates the divide-by,