What is 28/42 Divided By 9/8

Solving $\frac{28}{42}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{42} \div \frac{9}{8} = \frac{28}{42} \times \frac{8}{9}$

• Multiply the Numerators: $28 \times 8 = 224$
• Multiply the Denominators: $42 \times 9 = 378$
• Form the New Fraction: $\frac{28}{42} \times \frac{9}{8} = \frac{224}{378}$

Let's Simplify $\frac{224}{378}$

• Find the Greatest Common Divisor (GCD) of $224$ and $378$. The GCD of $224$ and $378$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{224 \div 14}{378 \div 14} = \frac{16}{27}$

Answer $\frac{28}{42}\div\frac{9}{8} = \frac{16}{27}$

The following animation demonstrates the divide-by,