What is 43/11 Divided By 5/4

Solving $\frac{43}{11}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{43}{11} \div \frac{5}{4} = \frac{43}{11} \times \frac{4}{5}$

• Multiply the Numerators: $43 \times 4 = 172$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{43}{11} \times \frac{5}{4} = \frac{172}{55}$

Simplify - Since $\frac{172}{55}$​ is already in its simplest form (there are no common factors between $172$ and $55$ other than $1$), this is the final answer.

Answer $\frac{43}{11}\div\frac{5}{4} = \frac{172}{55}$

The following animation demonstrates the divide-by,