Estimation - Examples, Exercises and Solutions

We look for the closest fraction to be able to divide the numerator by the denominator:

$\frac{5}{25}$

We break down the denominator into a multiplication exercise:

$\frac{5}{5\times5}$

We simplify:

$\frac{1}{5}$

We convert the fraction into a percentage

$\frac{1}{5}\times100=\frac{100}{5}=$

$20\%$

To solve this problem, we'll convert the fraction $\frac{34}{70}$ into a percentage by following these steps:

• Step 1: Calculate the decimal equivalent of $\frac{34}{70}$.

• Step 2: Multiply the decimal by 100 to convert it into a percentage.

Now, let's work through each step:
Step 1: Perform the division $\frac{34}{70}$. The result of dividing 34 by 70 is approximately 0.4857.
Step 2: Convert this decimal into a percentage by multiplying by 100:
$0.4857 \times 100\% = 48.57\%$.

Since we want an approximate percentage from the given choices, we round $48.57\%$ to the nearest whole number, which is $50\%$.

Therefore, the solution to the problem is $50\%$.

To solve this problem, we'll follow these steps:

• Step 1: Convert the fraction $\frac{80}{11}$ into a decimal number.
• Step 2: Multiply the resulting decimal by 100 to find the percentage.
• Step 3: Identify the correct choice from the provided options.

Now, let's work through each step:
Step 1: Divide $80$ by $11$. The result is approximately $7.27$, as $11$ goes into $80$ 7 times with a remainder.
Step 2: Multiply $7.27$ by $100$ to convert it to a percentage: $7.27 \times 100 = 727\%$. However, since the question asks for an approximation, use rounding to the nearest hundred percent: approximately $800\%$.
Step 3: Among the choices provided, the closest approximate percentage is 800%, corresponding to choice 4.

Therefore, the solution to the problem is 800%.

We are looking for the closest fraction to be able to divide the numerator by the denominator:

$\frac{15}{5}=3$

Convert the fraction into percentage:

$3\times100=300$

$300\%$

To find the approximate percentage of $\frac{1}{9}$, we follow these steps:

• Step 1: Use the formula to convert the fraction to a percentage. This involves multiplying the fraction by 100:

Calculating the above expression gives us:

This result is approximately equal to 10% when rounding to the nearest whole number, which corresponds to choice 1 in the list of possible answers.

Therefore, the approximate percentage of $\frac{1}{9}$ is 10%.