Question

Mia had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left?

Answer 1

The remaining board piece will be 3 (7/8) feet long

Step-by-step explanation

Mia's board is 15 (1/2) feet long.

He cut three pieces off the board with each board measuring 3 (7/8) feet long.

The key to this is to first convert the values given in mixed fractions as improper fractions.

3 (7/8) = (31/8)

15 (1/2) = (31/2)

Then, the three pieces each had a length of 3 (7/8)

1 piece = 3 (7/8) feet = (31/8) feet

3 pieces = 3 × (31/8) = (93/8) feet

So, taking this out of 15 (1/2) long board will leave

[15 (1/2)] - (93/8)

= (31/2) - (93/8)

To do that, we need to take the LCM of these two denominators

`\begin{gathered} (31)/(2)-(93)/(8) \\ =(124-93)/(8) \\ =(31)/(8) \end{gathered}`

The remaining board piece will be

(31/8) = 3 (7/8) feet long

Hope this Helps!!!