What is 43/52 Divided By 3/2

Solving $\frac{43}{52}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{52} \div \frac{3}{2} = \frac{43}{52} \times \frac{2}{3}$

• Multiply the Numerators: $43 \times 2 = 86$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{43}{52} \times \frac{3}{2} = \frac{86}{156}$

Let's Simplify $\frac{86}{156}$

• Find the Greatest Common Divisor (GCD) of $86$ and $156$. The GCD of $86$ and $156$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{86 \div 2}{156 \div 2} = \frac{43}{78}$

Answer $\frac{43}{52}\div\frac{3}{2} = \frac{43}{78}$

The following animation demonstrates the divide-by,