What is 38/19 Divided By 7/4

Solving $\frac{38}{19}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{19} \div \frac{7}{4} = \frac{38}{19} \times \frac{4}{7}$

• Multiply the Numerators: $38 \times 4 = 152$
• Multiply the Denominators: $19 \times 7 = 133$
• Form the New Fraction: $\frac{38}{19} \times \frac{7}{4} = \frac{152}{133}$

Let's Simplify $\frac{152}{133}$

• Find the Greatest Common Divisor (GCD) of $152$ and $133$. The GCD of $152$ and $133$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 19}{133 \div 19} = \frac{8}{7}$

Answer $\frac{38}{19}\div\frac{7}{4} = \frac{8}{7}$

The following animation demonstrates the divide-by,