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
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.
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Write down the whole number part, which is 5.
2. Convert the fraction part to a decimal. Divide the numerator (3) by the denominator (16) using long division:
16 | 3
- -
3
-
6
-
0
3. Since there is no remainder, the division is exact. The decimal form of 3/16 is 0.1875.
4. Add the whole number part (5) to the decimal part (0.1875). The decimal equivalent of 5 3/16 is 5.1875.
Therefore, the correct answer is 5.1875.