What is 83/45 Divided By 2/3

Solving $\frac{83}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{45} \div \frac{2}{3} = \frac{83}{45} \times \frac{3}{2}$

• Multiply the Numerators: $83 \times 3 = 249$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{83}{45} \times \frac{2}{3} = \frac{249}{90}$

Let's Simplify $\frac{249}{90}$

• Find the Greatest Common Divisor (GCD) of $249$ and $90$. The GCD of $249$ and $90$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{249 \div 3}{90 \div 3} = \frac{83}{30}$

Answer $\frac{83}{45}\div\frac{2}{3} = \frac{83}{30}$

The following animation demonstrates the divide-by,