What is 35/42 Divided By 5/8

Solving $\frac{35}{42}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{42} \div \frac{5}{8} = \frac{35}{42} \times \frac{8}{5}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{35}{42} \times \frac{5}{8} = \frac{280}{210}$

Let's Simplify $\frac{280}{210}$

• Find the Greatest Common Divisor (GCD) of $280$ and $210$. The GCD of $280$ and $210$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 70}{210 \div 70} = \frac{4}{3}$

Answer $\frac{35}{42}\div\frac{5}{8} = \frac{4}{3}$

The following animation demonstrates the divide-by,