What is 42/46 Divided By 9/4

Solving $\frac{42}{46}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{46} \div \frac{9}{4} = \frac{42}{46} \times \frac{4}{9}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $46 \times 9 = 414$
• Form the New Fraction: $\frac{42}{46} \times \frac{9}{4} = \frac{168}{414}$

Let's Simplify $\frac{168}{414}$

• Find the Greatest Common Divisor (GCD) of $168$ and $414$. The GCD of $168$ and $414$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 6}{414 \div 6} = \frac{28}{69}$

Answer $\frac{42}{46}\div\frac{9}{4} = \frac{28}{69}$

The following animation demonstrates the divide-by,