What is 74/35 Divided By 8/1

Solving $\frac{74}{35}\div\frac{8}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{35} \div \frac{8}{1} = \frac{74}{35} \times \frac{1}{8}$

• Multiply the Numerators: $74 \times 1 = 74$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{74}{35} \times \frac{8}{1} = \frac{74}{280}$

Let's Simplify $\frac{74}{280}$

• Find the Greatest Common Divisor (GCD) of $74$ and $280$. The GCD of $74$ and $280$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{74 \div 2}{280 \div 2} = \frac{37}{140}$

Answer $\frac{74}{35}\div\frac{8}{1} = \frac{37}{140}$

The following animation demonstrates the divide-by,