What is 19/38 Divided By 5/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $19 \times 7 = 133$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{19}{38} \times \frac{5}{7} = \frac{133}{190}$

Let's Simplify $\frac{133}{190}$

• Find the Greatest Common Divisor (GCD) of $133$ and $190$. The GCD of $133$ and $190$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{133 \div 19}{190 \div 19} = \frac{7}{10}$

Answer $\frac{19}{38}\div\frac{5}{7} = \frac{7}{10}$

The following animation demonstrates the divide-by,