What is 28/38 Divided By 7/9

Solving $\frac{28}{38}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{38} \div \frac{7}{9} = \frac{28}{38} \times \frac{9}{7}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{28}{38} \times \frac{7}{9} = \frac{252}{266}$

Let's Simplify $\frac{252}{266}$

• Find the Greatest Common Divisor (GCD) of $252$ and $266$. The GCD of $252$ and $266$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 14}{266 \div 14} = \frac{18}{19}$

Answer $\frac{28}{38}\div\frac{7}{9} = \frac{18}{19}$

The following animation demonstrates the divide-by,