Sammie bought a 10 2/5 foot long board to make birdhouses if each birdhouse uses 1 3/10 feet how many birdhouses can she make

1 answer

To solve this problem, we need to divide the length of the board by the length used by each birdhouse.

The length of the board is 10 2/5 feet.

Convert 10 2/5 feet to an improper fraction:
=(10*5+2)/5
=52/5 feet.

The length used by each birdhouse is 1 3/10 feet.

Convert 1 3/10 feet to an improper fraction:
=(1*10+3)/10
=13/10 feet.

Now we can divide the length of the board by the length used by each birdhouse:
52/5 ÷ 13/10

When dividing fractions, we flip the second fraction and multiply:
52/5 × 10/13

= (52 × 10) / (5 × 13)
= 520/65
= 8

Therefore, Sammie can make 8 birdhouses out of the board.