What is 45/95 Divided By 6/4

Solving $\frac{45}{95}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{95} \div \frac{6}{4} = \frac{45}{95} \times \frac{4}{6}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $95 \times 6 = 570$
• Form the New Fraction: $\frac{45}{95} \times \frac{6}{4} = \frac{180}{570}$

Let's Simplify $\frac{180}{570}$

• Find the Greatest Common Divisor (GCD) of $180$ and $570$. The GCD of $180$ and $570$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 30}{570 \div 30} = \frac{6}{19}$

Answer $\frac{45}{95}\div\frac{6}{4} = \frac{6}{19}$

The following animation demonstrates the divide-by,