What is 38/42 Divided By 2/8

Solving $\frac{38}{42}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{42} \div \frac{2}{8} = \frac{38}{42} \times \frac{8}{2}$

• Multiply the Numerators: $38 \times 8 = 304$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{38}{42} \times \frac{2}{8} = \frac{304}{84}$

Let's Simplify $\frac{304}{84}$

• Find the Greatest Common Divisor (GCD) of $304$ and $84$. The GCD of $304$ and $84$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 4}{84 \div 4} = \frac{76}{21}$

Answer $\frac{38}{42}\div\frac{2}{8} = \frac{76}{21}$

The following animation demonstrates the divide-by,