What is 74/42 Divided By 5/2

Solving $\frac{74}{42}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{42} \div \frac{5}{2} = \frac{74}{42} \times \frac{2}{5}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{74}{42} \times \frac{5}{2} = \frac{148}{210}$

Let's Simplify $\frac{148}{210}$

• Find the Greatest Common Divisor (GCD) of $148$ and $210$. The GCD of $148$ and $210$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 2}{210 \div 2} = \frac{74}{105}$

Answer $\frac{74}{42}\div\frac{5}{2} = \frac{74}{105}$

The following animation demonstrates the divide-by,