What is 95/57 Divided By 2/9

Solving $\frac{95}{57}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{95}{57} \div \frac{2}{9} = \frac{95}{57} \times \frac{9}{2}$

• Multiply the Numerators: $95 \times 9 = 855$
• Multiply the Denominators: $57 \times 2 = 114$
• Form the New Fraction: $\frac{95}{57} \times \frac{2}{9} = \frac{855}{114}$

Let's Simplify $\frac{855}{114}$

• Find the Greatest Common Divisor (GCD) of $855$ and $114$. The GCD of $855$ and $114$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{855 \div 57}{114 \div 57} = \frac{15}{2}$

Answer $\frac{95}{57}\div\frac{2}{9} = \frac{15}{2}$

The following animation demonstrates the divide-by,