What is 50/35 Divided By 4/9

Solving $\frac{50}{35}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{35} \div \frac{4}{9} = \frac{50}{35} \times \frac{9}{4}$

• Multiply the Numerators: $50 \times 9 = 450$
• Multiply the Denominators: $35 \times 4 = 140$
• Form the New Fraction: $\frac{50}{35} \times \frac{4}{9} = \frac{450}{140}$

Let's Simplify $\frac{450}{140}$

• Find the Greatest Common Divisor (GCD) of $450$ and $140$. The GCD of $450$ and $140$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 10}{140 \div 10} = \frac{45}{14}$

Answer $\frac{50}{35}\div\frac{4}{9} = \frac{45}{14}$

The following animation demonstrates the divide-by,