What is 35/81 Divided By 5/3

Solving $\frac{35}{81}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{81} \div \frac{5}{3} = \frac{35}{81} \times \frac{3}{5}$

• Multiply the Numerators: $35 \times 3 = 105$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{35}{81} \times \frac{5}{3} = \frac{105}{405}$

Let's Simplify $\frac{105}{405}$

• Find the Greatest Common Divisor (GCD) of $105$ and $405$. The GCD of $105$ and $405$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{105 \div 15}{405 \div 15} = \frac{7}{27}$

Answer $\frac{35}{81}\div\frac{5}{3} = \frac{7}{27}$

The following animation demonstrates the divide-by,