What is 57/76 Divided By 5/2

Solving $\frac{57}{76}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{5}{2} = \frac{57}{76} \times \frac{2}{5}$

• Multiply the Numerators: $57 \times 2 = 114$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{57}{76} \times \frac{5}{2} = \frac{114}{380}$

Let's Simplify $\frac{114}{380}$

• Find the Greatest Common Divisor (GCD) of $114$ and $380$. The GCD of $114$ and $380$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 38}{380 \div 38} = \frac{3}{10}$

Answer $\frac{57}{76}\div\frac{5}{2} = \frac{3}{10}$

The following animation demonstrates the divide-by,