What is 93/72 Divided By 2/3

Solving $\frac{93}{72}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{72} \div \frac{2}{3} = \frac{93}{72} \times \frac{3}{2}$

• Multiply the Numerators: $93 \times 3 = 279$
• Multiply the Denominators: $72 \times 2 = 144$
• Form the New Fraction: $\frac{93}{72} \times \frac{2}{3} = \frac{279}{144}$

Let's Simplify $\frac{279}{144}$

• Find the Greatest Common Divisor (GCD) of $279$ and $144$. The GCD of $279$ and $144$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{279 \div 9}{144 \div 9} = \frac{31}{16}$

Answer $\frac{93}{72}\div\frac{2}{3} = \frac{31}{16}$

The following animation demonstrates the divide-by,