What is 35/53 Divided By 6/8

Solving $\frac{35}{53}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{53} \div \frac{6}{8} = \frac{35}{53} \times \frac{8}{6}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $53 \times 6 = 318$
• Form the New Fraction: $\frac{35}{53} \times \frac{6}{8} = \frac{280}{318}$

Let's Simplify $\frac{280}{318}$

• Find the Greatest Common Divisor (GCD) of $280$ and $318$. The GCD of $280$ and $318$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 2}{318 \div 2} = \frac{140}{159}$

Answer $\frac{35}{53}\div\frac{6}{8} = \frac{140}{159}$

The following animation demonstrates the divide-by,