Adam colored two parts of a 4 × 4 grid. He colored

1_
2
of
the squares red and
1_
4
of the squares blue. How many of the
squares are not colored? Explain your answer. What fraction
of the squares are not colored? Explain your answer.

1/2 + 1/4 = 2/4 + 1/4 = 3/4

4/4 - 3/4 = ?

1/4! Thank you very much!!!

You're very welcome.

To find the number of squares that are not colored, we first need to determine the total number of squares in the 4x4 grid, which is simply the product of the number of rows (4) and the number of columns (4), giving us 4x4 = 16 squares in total.

Next, we determine the number of squares that Adam colored red. He colored 1/2 of the squares red, so we need to find 1/2 of the total number of squares. 1/2 of 16 is equal to (1/2) x 16 = 8 squares colored red.

Similarly, Adam colored 1/4 of the squares blue. To find the number of squares colored blue, we need to find 1/4 of the total number of squares. 1/4 of 16 is equal to (1/4) x 16 = 4 squares colored blue.

Now, we can find the number of squares that are not colored by subtracting the number of colored squares (red and blue) from the total number of squares. 16 - 8 - 4 = 4 squares are not colored.

To find the fraction of squares that are not colored, we can divide the number of squares not colored by the total number of squares. In this case, we have 4 squares not colored out of a total of 16 squares. Therefore, the fraction is 4/16. This fraction can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 4. Simplifying 4/16 gives us 1/4.

So, there are 4 squares that are not colored out of a total of 16 squares, and this can be expressed as 1/4 of the total squares.