A farmer's land is separated into sections of size
215 acres. Suppose there are 449 such sections.
How many acres of land does the farmer own?
Write your answer as a mixed number in simplest form.
just multiply the two numbers
215*449 = ?
To find the total number of acres the farmer owns, we need to multiply the size of each section (215 acres) by the number of sections (449).
215 acres/section × 449 sections = 96,635 acres.
Therefore, the farmer owns 96,635 acres of land.
To find the total number of acres of land the farmer owns, we need to multiply the size of each section by the number of sections.
First, let's calculate the total number of acres in one section:
215 acres/section
Next, we multiply the number of sections by the size of each section:
215 acres/section * 449 sections
To multiply a whole number and a fraction, we can multiply the whole number by the numerator of the fraction and write the result over the denominator. In this case, we can write 449 as a fraction with a numerator of 449 and a denominator of 1:
(215 acres/section) * (449 sections/1)
Now let's multiply the numerators together and the denominators together:
215 * 449 acres/section * sections/1
Cancel out the units of "section" in the numerator and denominator:
215 * 449 acres/1
Multiply the numerators together:
215 * 449 = 96535
So the farmer owns 96535 acres of land.
To write this as a mixed number in simplest form, we divide the total number of acres by the size of each section:
96535 acres / 215 acres/section
Dividing these two numbers gives us the mixed number:
96535/215 = 449 remainder 130
Therefore, the farmer owns 449 and 130/215 acres of land.