What is 38/46 Divided By 3/5

Solving $\frac{38}{46}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{46} \div \frac{3}{5} = \frac{38}{46} \times \frac{5}{3}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{38}{46} \times \frac{3}{5} = \frac{190}{138}$

Let's Simplify $\frac{190}{138}$

• Find the Greatest Common Divisor (GCD) of $190$ and $138$. The GCD of $190$ and $138$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 2}{138 \div 2} = \frac{95}{69}$

Answer $\frac{38}{46}\div\frac{3}{5} = \frac{95}{69}$

The following animation demonstrates the divide-by,