What is 28/91 Divided By 6/5

Solving $\frac{28}{91}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{91} \div \frac{6}{5} = \frac{28}{91} \times \frac{5}{6}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $91 \times 6 = 546$
• Form the New Fraction: $\frac{28}{91} \times \frac{6}{5} = \frac{140}{546}$

Let's Simplify $\frac{140}{546}$

• Find the Greatest Common Divisor (GCD) of $140$ and $546$. The GCD of $140$ and $546$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 14}{546 \div 14} = \frac{10}{39}$

Answer $\frac{28}{91}\div\frac{6}{5} = \frac{10}{39}$

The following animation demonstrates the divide-by,