What is 19/35 Divided By 8/6

Solving $\frac{19}{35}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{35} \div \frac{8}{6} = \frac{19}{35} \times \frac{6}{8}$

• Multiply the Numerators: $19 \times 6 = 114$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{19}{35} \times \frac{8}{6} = \frac{114}{280}$

Let's Simplify $\frac{114}{280}$

• Find the Greatest Common Divisor (GCD) of $114$ and $280$. The GCD of $114$ and $280$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 2}{280 \div 2} = \frac{57}{140}$

Answer $\frac{19}{35}\div\frac{8}{6} = \frac{57}{140}$

The following animation demonstrates the divide-by,