What is 19/76 Divided By 5/2

Solving $\frac{19}{76}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{76} \div \frac{5}{2} = \frac{19}{76} \times \frac{2}{5}$

• Multiply the Numerators: $19 \times 2 = 38$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{19}{76} \times \frac{5}{2} = \frac{38}{380}$

Let's Simplify $\frac{38}{380}$

• Find the Greatest Common Divisor (GCD) of $38$ and $380$. The GCD of $38$ and $380$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{38 \div 38}{380 \div 38} = \frac{1}{10}$

Answer $\frac{19}{76}\div\frac{5}{2} = \frac{1}{10}$

The following animation demonstrates the divide-by,