What is 18/91 Divided By 6/5

Solving $\frac{18}{91}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{91} \div \frac{6}{5} = \frac{18}{91} \times \frac{5}{6}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $91 \times 6 = 546$
• Form the New Fraction: $\frac{18}{91} \times \frac{6}{5} = \frac{90}{546}$

Let's Simplify $\frac{90}{546}$

• Find the Greatest Common Divisor (GCD) of $90$ and $546$. The GCD of $90$ and $546$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 6}{546 \div 6} = \frac{15}{91}$

Answer $\frac{18}{91}\div\frac{6}{5} = \frac{15}{91}$

The following animation demonstrates the divide-by,