What is 42/34 Divided By 9/4

Solving $\frac{42}{34}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{34} \div \frac{9}{4} = \frac{42}{34} \times \frac{4}{9}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{42}{34} \times \frac{9}{4} = \frac{168}{306}$

Let's Simplify $\frac{168}{306}$

• Find the Greatest Common Divisor (GCD) of $168$ and $306$. The GCD of $168$ and $306$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 6}{306 \div 6} = \frac{28}{51}$

Answer $\frac{42}{34}\div\frac{9}{4} = \frac{28}{51}$

The following animation demonstrates the divide-by,