If you were given a 10 by 10 grid with 40 blocks shaded, how could you represent this using a fraction in simplest form?
To represent the shaded blocks on a 10 by 10 grid as a fraction in simplest form, we need to determine the total number of blocks in the grid. In this case, the grid has a total of 10 x 10 = 100 blocks.
As per the given information, 40 blocks are shaded. To represent this as a fraction, we can write 40/100.
Now, for simplest form, we can simplify 40/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD). Here, the GCD of 40 and 100 is 20.
Dividing both the numerator and the denominator by 20, we get:
40 ÷ 20 = 2
100 ÷ 20 = 5
Therefore, the shaded blocks can be represented by the fraction 2/5, which is already in simplest form.
To represent the shaded blocks in a 10 by 10 grid as a fraction in simplest form, we can follow these steps:
Step 1: Calculate the total number of blocks in the grid.
The total number of blocks in a 10 by 10 grid is 10 x 10 = 100.
Step 2: Calculate the number of shaded blocks.
From the given information, we know that there are 40 shaded blocks.
Step 3: Write the fraction.
To represent the shaded blocks as a fraction, we write the number of shaded blocks as the numerator and the total number of blocks as the denominator. Therefore, the fraction is 40/100.
Step 4: Simplify the fraction.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 20 in this case.
Dividing 40 by 20 gives us 2, and dividing 100 by 20 gives us 5.
So, the simplified fraction is 2/5.
Therefore, the shaded blocks can be represented as the fraction 2/5 in simplest form.
To represent the shaded blocks in a 10 by 10 grid using a fraction in simplest form, you need to find the ratio of shaded blocks to the total number of blocks in the grid.
First, calculate the total number of blocks in the grid. Since it is a 10 by 10 grid, you multiply the number of rows (10) by the number of columns (10): 10 x 10 = 100.
Next, determine the number of shaded blocks in the grid, which is given as 40.
To convert this into a fraction, express the shaded blocks as a numerator and the total number of blocks as a denominator. Therefore, the fraction representing the shaded blocks is 40/100.
To simplify this fraction, you need to find the greatest common divisor (GCD) of 40 and 100. In this case, the GCD is 20. Divide both the numerator and denominator by 20, resulting in the simplified fraction: 2/5.
Therefore, the shaded blocks in the 10 by 10 grid can be represented as the fraction 2/5.