What is 52/38 Divided By 7/4

Solving $\frac{52}{38}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{38} \div \frac{7}{4} = \frac{52}{38} \times \frac{4}{7}$

• Multiply the Numerators: $52 \times 4 = 208$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{52}{38} \times \frac{7}{4} = \frac{208}{266}$

Let's Simplify $\frac{208}{266}$

• Find the Greatest Common Divisor (GCD) of $208$ and $266$. The GCD of $208$ and $266$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 2}{266 \div 2} = \frac{104}{133}$

Answer $\frac{52}{38}\div\frac{7}{4} = \frac{104}{133}$

The following animation demonstrates the divide-by,