What is 28/74 Divided By 8/4

Solving $\frac{28}{74}\div\frac{8}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{74} \div \frac{8}{4} = \frac{28}{74} \times \frac{4}{8}$

• Multiply the Numerators: $28 \times 4 = 112$
• Multiply the Denominators: $74 \times 8 = 592$
• Form the New Fraction: $\frac{28}{74} \times \frac{8}{4} = \frac{112}{592}$

Let's Simplify $\frac{112}{592}$

• Find the Greatest Common Divisor (GCD) of $112$ and $592$. The GCD of $112$ and $592$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{112 \div 16}{592 \div 16} = \frac{7}{37}$

Answer $\frac{28}{74}\div\frac{8}{4} = \frac{7}{37}$

The following animation demonstrates the divide-by,