What is 93/42 Divided By 4/5

Solving $\frac{93}{42}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{93}{42} \div \frac{4}{5} = \frac{93}{42} \times \frac{5}{4}$

• Multiply the Numerators: $93 \times 5 = 465$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{93}{42} \times \frac{4}{5} = \frac{465}{168}$

Let's Simplify $\frac{465}{168}$

• Find the Greatest Common Divisor (GCD) of $465$ and $168$. The GCD of $465$ and $168$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{465 \div 3}{168 \div 3} = \frac{155}{56}$

Answer $\frac{93}{42}\div\frac{4}{5} = \frac{155}{56}$

The following animation demonstrates the divide-by,