What is 38/28 Divided By 3/9

Solving $\frac{38}{28}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{28} \div \frac{3}{9} = \frac{38}{28} \times \frac{9}{3}$

• Multiply the Numerators: $38 \times 9 = 342$
• Multiply the Denominators: $28 \times 3 = 84$
• Form the New Fraction: $\frac{38}{28} \times \frac{3}{9} = \frac{342}{84}$

Let's Simplify $\frac{342}{84}$

• Find the Greatest Common Divisor (GCD) of $342$ and $84$. The GCD of $342$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 6}{84 \div 6} = \frac{57}{14}$

Answer $\frac{38}{28}\div\frac{3}{9} = \frac{57}{14}$

The following animation demonstrates the divide-by,