What is 35/42 Divided By 9/4

Solving $\frac{35}{42}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{9}{4} = \frac{35}{42} \times \frac{4}{9}$

• Multiply the Numerators: $35 \times 4 = 140$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{35}{42} \times \frac{9}{4} = \frac{140}{378}$

Let's Simplify $\frac{140}{378}$

• Find the Greatest Common Divisor (GCD) of $140$ and $378$. The GCD of $140$ and $378$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 14}{378 \div 14} = \frac{10}{27}$

Answer $\frac{35}{42}\div\frac{9}{4} = \frac{10}{27}$

The following animation demonstrates the divide-by,