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9. (3 × 4) + (2 × 8) = ______ 10. write 2 fractions that represent the …

Question

  1. (3 × 4) + (2 × 8) = ______
  2. write 2 fractions that represent the shaded part of the picture.

image of a grid with shaded cells
____ and ____
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Explanation:

Response
Question 9

Step1: Calculate \(3\times4\)

\(3\times4 = 12\)

Step2: Calculate \(2\times8\)

\(2\times8 = 16\)

Step3: Add the two results

\(12 + 16 = 28\)

Question 10
  1. First, count the total number of equal - sized parts in the picture. From the grid, we can see that there are a total of \(2\times4 = 8\) small rectangles (since there are 2 rows and 4 columns).
  2. Then, count the number of shaded parts. The shaded parts are 2 small rectangles. So the fraction of the shaded part can be written as \(\frac{\text{number of shaded parts}}{\text{total number of parts}}=\frac{2}{8}\).
  3. Next, simplify the fraction \(\frac{2}{8}\). We know that to simplify a fraction, we divide both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 2 and 8 is 2. So \(\frac{2\div2}{8\div2}=\frac{1}{4}\).

Answer:

28