What is 18/35 Divided By 6/5

Solving $\frac{18}{35}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{35} \div \frac{6}{5} = \frac{18}{35} \times \frac{5}{6}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $35 \times 6 = 210$
• Form the New Fraction: $\frac{18}{35} \times \frac{6}{5} = \frac{90}{210}$

Let's Simplify $\frac{90}{210}$

• Find the Greatest Common Divisor (GCD) of $90$ and $210$. The GCD of $90$ and $210$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 30}{210 \div 30} = \frac{3}{7}$

Answer $\frac{18}{35}\div\frac{6}{5} = \frac{3}{7}$

The following animation demonstrates the divide-by,