isabella's mother has a garden with an area of 10 2/3 square feet. She plants peas in 1/4 of the garden.

Calculate the area that was used for planting peas.

To calculate the area used for planting peas, we need to multiply the total area of the garden by the fraction of the garden used for planting peas:

Area used for planting peas = (1/4) x 10 2/3

First, we need to convert the mixed number to an improper fraction:

10 2/3 = (3 x 10) + 2 = 32/3

Now we can substitute these values into our formula:

Area used for planting peas = (1/4) x 32/3

To multiply fractions, we multiply the numerators together and then the denominators together:

Area used for planting peas = (1 x 32)/(4 x 3)

Simplifying the fraction, we get:

Area used for planting peas = 8/3 square feet

Therefore, Isabella's mother used 8/3 square feet of the garden for planting peas.

which is 2 2/3