What is 19/38 Divided By 7/5

Solving $\frac{19}{38}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{38} \div \frac{7}{5} = \frac{19}{38} \times \frac{5}{7}$

• Multiply the Numerators: $19 \times 5 = 95$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{19}{38} \times \frac{7}{5} = \frac{95}{266}$

Let's Simplify $\frac{95}{266}$

• Find the Greatest Common Divisor (GCD) of $95$ and $266$. The GCD of $95$ and $266$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{95 \div 19}{266 \div 19} = \frac{5}{14}$

Answer $\frac{19}{38}\div\frac{7}{5} = \frac{5}{14}$

The following animation demonstrates the divide-by,