Questions: Monroe played 30 games and lost only 8 of them. What percent of the games did they lose: Round your answer to the nearest tenth (one decimal place) of a percent. Enter only the value without the percent sign.

Monroe played 30 games and lost only 8 of them. What percent of the games did they lose: Round your answer to the nearest tenth (one decimal place) of a percent. Enter only the value without the percent sign.

Solution

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Solution Steps

To find the percentage of games Monroe lost, we need to divide the number of games lost by the total number of games played and then multiply by 100. Finally, we round the result to the nearest tenth.

Step 1: Calculate the Percentage of Games Lost

To find the percentage of games lost, we use the formula:

\[ \text{Percentage Lost} = \left( \frac{\text{Games Lost}}{\text{Total Games}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage Lost} = \left( \frac{8}{30} \right) \times 100 \]

Step 2: Perform the Calculation

Calculating the fraction:

\[ \frac{8}{30} = 0.2666666666666667 \]

Now, multiplying by 100:

\[ 0.2666666666666667 \times 100 = 26.666666666666668 \]

Step 3: Round to the Nearest Tenth

Rounding \( 26.666666666666668 \) to the nearest tenth gives:

\[ \text{Rounded Percentage Lost} = 26.7 \]

Final Answer

The percentage of games Monroe lost, rounded to the nearest tenth, is \\(\boxed{26.7}\\).

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