What is 35/42 Divided By 6/8

Solving $\frac{35}{42}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{6}{8} = \frac{35}{42} \times \frac{8}{6}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $42 \times 6 = 252$
• Form the New Fraction: $\frac{35}{42} \times \frac{6}{8} = \frac{280}{252}$

Let's Simplify $\frac{280}{252}$

• Find the Greatest Common Divisor (GCD) of $280$ and $252$. The GCD of $280$ and $252$ is $28$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 28}{252 \div 28} = \frac{10}{9}$

Answer $\frac{35}{42}\div\frac{6}{8} = \frac{10}{9}$

The following animation demonstrates the divide-by,