What is 50/45 Divided By 2/3

Solving $\frac{50}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{45} \div \frac{2}{3} = \frac{50}{45} \times \frac{3}{2}$

• Multiply the Numerators: $50 \times 3 = 150$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{50}{45} \times \frac{2}{3} = \frac{150}{90}$

Let's Simplify $\frac{150}{90}$

• Find the Greatest Common Divisor (GCD) of $150$ and $90$. The GCD of $150$ and $90$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 30}{90 \div 30} = \frac{5}{3}$

Answer $\frac{50}{45}\div\frac{2}{3} = \frac{5}{3}$

The following animation demonstrates the divide-by,