Question

Use long division to convert 5 3/16 to a decimal.(1 point)
Responses

5.1875
5.1875

≈5.3
approximately equals 5.3

5.36
5.36

0.1875

Answer 1

5 3/16 = 5 + 3/16 = 80/16 + 3/16 = 83/16

Using long division:
16 ) 83.00
16 ) 5.18 (5 is the whole number part of the mixed number)

Multiply 16 by 0.18 and subtract it from 18:
16 ) 5.18
- 0.16
----------
2.18

Multiply 16 by 13 and subtract it from 218:
16 ) 218.00
- 208
--------
10.000

Since the remainder is 10, we can add 0's after the decimal point and divide again to get a decimal:
16 ) 10.000
0.625

So, 5 3/16 is approximately equal to 5.1875.