Question

Use long division to convert 2 7/16 to a decimal. (1 point)

Answer 1

To convert 2 7/16 to a decimal using long division, we need to divide the numerator (7) by the denominator (16).

First, we write 2 as a fraction: 2 = 2/1.

Next, we multiply the whole number (2) by the denominator (16): 2 x 16 = 32.

We add the numerator (7) to the result (32): 32 + 7 = 39.

The resulting fraction is 39/16.

Now, we perform long division:

Divide 39 by 16:

2 remainder 7
_____________
16 | 39
32
_______
7

So, 2 7/16 as a decimal is 2.4375.