Question

A farmer plants potatoes on of his land. He plant 36

peas on of his land. What fraction of the farm's 36 land do potatoes and peas cover? Simplify the answer
if possible.
A .1/9
C .1/18
B .1/12
D .I/6

Answer 1

The total fraction of the farm's land covered by potatoes and peas is 1/6, So the correct option is d.

Step-by-step explanation:

To find the total fraction of the farmer's land covered by both potatoes and peas, we can simply add the fractions that represent the parts of the land covered by each crop.

The fraction of land covered by potatoes is given as 1/36. The fraction of land covered by peas is given as 5/36.

Now we add these two fractions:

Potatoes: 1/36
Peas: 5/36
Total covered by potatoes and peas: 1/36 + 5/36

When adding fractions that have the same denominator, you keep the denominator the same and simply add the numerators:

(1 + 5) / 36 = 6/36

Now we have the fraction representing the total land covered by both potatoes and peas. However, it is always best practice to simplify fractions:

6/36 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6 in this case:

6 ÷ 6 = 1
36 ÷ 6 = 6

Thus, the simplified fraction is: 1/6. So the correct option is d.

Complete question:

A farmer plants potatoes on 1/36 of his land. He plants peas on 5/36 of his land. What fraction of the farm's land do potatoes and peas cover?