What is 46/34 Divided By 9/3

Solving $\frac{46}{34}\div\frac{9}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{34} \div \frac{9}{3} = \frac{46}{34} \times \frac{3}{9}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{46}{34} \times \frac{9}{3} = \frac{138}{306}$

Let's Simplify $\frac{138}{306}$

• Find the Greatest Common Divisor (GCD) of $138$ and $306$. The GCD of $138$ and $306$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{306 \div 6} = \frac{23}{51}$

Answer $\frac{46}{34}\div\frac{9}{3} = \frac{23}{51}$

The following animation demonstrates the divide-by,