What is 43/17 Divided By 6/8

Solving $\frac{43}{17}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{17} \div \frac{6}{8} = \frac{43}{17} \times \frac{8}{6}$

• Multiply the Numerators: $43 \times 8 = 344$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{43}{17} \times \frac{6}{8} = \frac{344}{102}$

Let's Simplify $\frac{344}{102}$

• Find the Greatest Common Divisor (GCD) of $344$ and $102$. The GCD of $344$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{344 \div 2}{102 \div 2} = \frac{172}{51}$

Answer $\frac{43}{17}\div\frac{6}{8} = \frac{172}{51}$

The following animation demonstrates the divide-by,