What is 42/76 Divided By 4/8

Solving $\frac{42}{76}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{76} \div \frac{4}{8} = \frac{42}{76} \times \frac{8}{4}$

• Multiply the Numerators: $42 \times 8 = 336$
• Multiply the Denominators: $76 \times 4 = 304$
• Form the New Fraction: $\frac{42}{76} \times \frac{4}{8} = \frac{336}{304}$

Let's Simplify $\frac{336}{304}$

• Find the Greatest Common Divisor (GCD) of $336$ and $304$. The GCD of $336$ and $304$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 16}{304 \div 16} = \frac{21}{19}$

Answer $\frac{42}{76}\div\frac{4}{8} = \frac{21}{19}$

The following animation demonstrates the divide-by,