What is 28/74 Divided By 8/6

Solving $\frac{28}{74}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{74} \div \frac{8}{6} = \frac{28}{74} \times \frac{6}{8}$

• Multiply the Numerators: $28 \times 6 = 168$
• Multiply the Denominators: $74 \times 8 = 592$
• Form the New Fraction: $\frac{28}{74} \times \frac{8}{6} = \frac{168}{592}$

Let's Simplify $\frac{168}{592}$

• Find the Greatest Common Divisor (GCD) of $168$ and $592$. The GCD of $168$ and $592$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 8}{592 \div 8} = \frac{21}{74}$

Answer $\frac{28}{74}\div\frac{8}{6} = \frac{21}{74}$

The following animation demonstrates the divide-by,