Question

which expression is equivalent to \\(\frac{5}{4}\\)? \\(\frac{5}{1} + \frac{4}{1}\\) \\(\frac{4}{5} + \frac{1}{5}\\) \\(\frac{4}{4} + \frac{1}{4}\\) \\(\frac{4}{4} + \frac{5}{5}\\)

Explanation:

Step1: Analyze each option

• First option: $\frac{5}{1}+\frac{4}{1}=5 + 4 = 9$, not equal to $\frac{5}{4}$.
• Second option: $\frac{4}{5}+\frac{1}{5}=\frac{4 + 1}{5}=\frac{5}{5}=1$, not equal to $\frac{5}{4}$.
• Third option: $\frac{4}{4}+\frac{1}{4}=\frac{4 + 1}{4}=\frac{5}{4}$, which is equal to the given fraction.
• Fourth option: $\frac{4}{4}+\frac{5}{5}=1 + 1 = 2$, not equal to $\frac{5}{4}$.

Answer:

$\frac{4}{4}+\frac{1}{4}$