What is 57/34 Divided By 3/4

Solving $\frac{57}{34}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{34} \div \frac{3}{4} = \frac{57}{34} \times \frac{4}{3}$

• Multiply the Numerators: $57 \times 4 = 228$
• Multiply the Denominators: $34 \times 3 = 102$
• Form the New Fraction: $\frac{57}{34} \times \frac{3}{4} = \frac{228}{102}$

Let's Simplify $\frac{228}{102}$

• Find the Greatest Common Divisor (GCD) of $228$ and $102$. The GCD of $228$ and $102$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{228 \div 6}{102 \div 6} = \frac{38}{17}$

Answer $\frac{57}{34}\div\frac{3}{4} = \frac{38}{17}$

The following animation demonstrates the divide-by,