What is 28/39 Divided By 8/9

Solving $\frac{28}{39}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{39} \div \frac{8}{9} = \frac{28}{39} \times \frac{9}{8}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $39 \times 8 = 312$
• Form the New Fraction: $\frac{28}{39} \times \frac{8}{9} = \frac{252}{312}$

Let's Simplify $\frac{252}{312}$

• Find the Greatest Common Divisor (GCD) of $252$ and $312$. The GCD of $252$ and $312$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 12}{312 \div 12} = \frac{21}{26}$

Answer $\frac{28}{39}\div\frac{8}{9} = \frac{21}{26}$

The following animation demonstrates the divide-by,