Converting Decimals to Fractions Practice Problems

To solve this problem, we will determine how much of the whole grid is represented by the shaded area.

The problem provides a 10x10 grid which contains 100 smaller squares in total. Our task is to determine how many of these squares are shaded.

Upon inspection, we count that 80 out of the 100 squares are shaded.

Therefore, the fraction of the whole that the shaded area represents is given by dividing the number of shaded squares by the total number of squares:

$\frac{\text{shaded squares}}{\text{total squares}} = \frac{8}{10}$

Converting this fraction to a decimal gives $0.8$.

Thus, the shaded area represents $\frac{8}{10}$ or $0.8$ of the whole.

Among the choices provided, the correct answer is: $0.8$ or $\frac{8}{10}$.

To solve this problem, we need to determine the fraction of the whole grid that is represented by the shaded (blue) area. The grid is a 10x10 layout, therefore containing a total of $10 \times 10 = 100$ equal-sized squares.

Step 1: We count the number of shaded squares in the grid. According to the illustration, there are 86 shaded squares.

Step 2: Calculate the fraction of the shaded area compared to the whole grid: $\frac{\text{Number of shaded squares}}{\text{Total number of squares}} = \frac{86}{100}$.

Step 3: Convert this fraction into a decimal. Dividing the numerator by the denominator gives us $0.86$.

Therefore, the shaded area represents $\frac{86}{100}$ of the total grid, which is equivalent to $0.86$.

This matches with the correct answer choice, which is: $0.86$ or $\frac{86}{100}$.

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{004}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{4}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction like this:

$\frac{006}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{6}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction in the following way:

$\frac{033}{100}$

We'll then proceed to remove the unnecessary zeros as follows:

$\frac{33}{100}$