What is 43/22 Divided By 9/8

Solving $\frac{43}{22}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{22} \div \frac{9}{8} = \frac{43}{22} \times \frac{8}{9}$

• Multiply the Numerators: $43 \times 8 = 344$
• Multiply the Denominators: $22 \times 9 = 198$
• Form the New Fraction: $\frac{43}{22} \times \frac{9}{8} = \frac{344}{198}$

Let's Simplify $\frac{344}{198}$

• Find the Greatest Common Divisor (GCD) of $344$ and $198$. The GCD of $344$ and $198$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{344 \div 2}{198 \div 2} = \frac{172}{99}$

Answer $\frac{43}{22}\div\frac{9}{8} = \frac{172}{99}$

The following animation demonstrates the divide-by,