Question 17

Explanation

The fractions can be rewritten in the form $1 + \frac{1}{x}$ as follows:

So, all numbers have the form $1 + \frac{1}{x}$. To find the largest value, we need to find the fraction where $\frac{1}{x}$ is largest. The value of $\frac{1}{x}$ increases as the denominator $x$ decreases.

From the five fractions above, the values of $x$ are $33, 60, 55, 124,$ and $25$ respectively. The smallest $x$ is $25$.

Therefore, the largest value is $\frac{26}{25}$.

Let's calculate its decimal value:

The decimal value is $1.040$.