What is 19/38 Divided By 7/4

Solving $\frac{19}{38}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{38} \div \frac{7}{4} = \frac{19}{38} \times \frac{4}{7}$

• Multiply the Numerators: $19 \times 4 = 76$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{19}{38} \times \frac{7}{4} = \frac{76}{266}$

Let's Simplify $\frac{76}{266}$

• Find the Greatest Common Divisor (GCD) of $76$ and $266$. The GCD of $76$ and $266$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{76 \div 38}{266 \div 38} = \frac{2}{7}$

Answer $\frac{19}{38}\div\frac{7}{4} = \frac{2}{7}$

The following animation demonstrates the divide-by,