What is 39/26 Divided By 9/4

Solving $\frac{39}{26}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{26} \div \frac{9}{4} = \frac{39}{26} \times \frac{4}{9}$

• Multiply the Numerators: $39 \times 4 = 156$
• Multiply the Denominators: $26 \times 9 = 234$
• Form the New Fraction: $\frac{39}{26} \times \frac{9}{4} = \frac{156}{234}$

Let's Simplify $\frac{156}{234}$

• Find the Greatest Common Divisor (GCD) of $156$ and $234$. The GCD of $156$ and $234$ is $78$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 78}{234 \div 78} = \frac{2}{3}$

Answer $\frac{39}{26}\div\frac{9}{4} = \frac{2}{3}$

The following animation demonstrates the divide-by,