What is 19/35 Divided By 5/7

Solving $\frac{19}{35}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{35} \div \frac{5}{7} = \frac{19}{35} \times \frac{7}{5}$

• Multiply the Numerators: $19 \times 7 = 133$
• Multiply the Denominators: $35 \times 5 = 175$
• Form the New Fraction: $\frac{19}{35} \times \frac{5}{7} = \frac{133}{175}$

Let's Simplify $\frac{133}{175}$

• Find the Greatest Common Divisor (GCD) of $133$ and $175$. The GCD of $133$ and $175$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{133 \div 7}{175 \div 7} = \frac{19}{25}$

Answer $\frac{19}{35}\div\frac{5}{7} = \frac{19}{25}$

The following animation demonstrates the divide-by,