What is 19/74 Divided By 5/2

Solving $\frac{19}{74}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{74} \div \frac{5}{2} = \frac{19}{74} \times \frac{2}{5}$

• Multiply the Numerators: $19 \times 2 = 38$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{19}{74} \times \frac{5}{2} = \frac{38}{370}$

Let's Simplify $\frac{38}{370}$

• Find the Greatest Common Divisor (GCD) of $38$ and $370$. The GCD of $38$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{38 \div 2}{370 \div 2} = \frac{19}{185}$

Answer $\frac{19}{74}\div\frac{5}{2} = \frac{19}{185}$

The following animation demonstrates the divide-by,