What is 42/35 Divided By 4/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,