What is 46/17 Divided By 6/3

Solving $\frac{46}{17}\div\frac{6}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{17} \div \frac{6}{3} = \frac{46}{17} \times \frac{3}{6}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{46}{17} \times \frac{6}{3} = \frac{138}{102}$

Let's Simplify $\frac{138}{102}$

• Find the Greatest Common Divisor (GCD) of $138$ and $102$. The GCD of $138$ and $102$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{102 \div 6} = \frac{23}{17}$

Answer $\frac{46}{17}\div\frac{6}{3} = \frac{23}{17}$

The following animation demonstrates the divide-by,