What is 35/42 Divided By 3/5

Solving $\frac{35}{42}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{3}{5} = \frac{35}{42} \times \frac{5}{3}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{35}{42} \times \frac{3}{5} = \frac{175}{126}$

Let's Simplify $\frac{175}{126}$

• Find the Greatest Common Divisor (GCD) of $175$ and $126$. The GCD of $175$ and $126$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 7}{126 \div 7} = \frac{25}{18}$

Answer $\frac{35}{42}\div\frac{3}{5} = \frac{25}{18}$

The following animation demonstrates the divide-by,