Use long division to convert 5 3/16 to a decimal.(1 point)
Responses
5.1875
5.1875
0.1875
0.1875
≈5.3
5.36
5.36
To convert 5 3/16 to a decimal using long division, divide 16 into 53:
__3.3125
16 | 53.00
-48
----
50
-48
----
20
-16
----
40
-32
----
80
-80
----
0
So, 5 3/16 is equal to 5.3125 in decimal form. Therefore, the correct answer is 5.3125.
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Write down the whole number 5 as the first digit of the decimal.
2. Write the fraction 3/16 as a decimal by dividing the numerator (3) by the denominator (16).
- Start by placing a decimal point after the whole number (5), giving 5.
- Set up the long division problem with 3 as the dividend and 16 as the divisor.
- Divide 3 by 16: 3 ÷ 16 = 0.1875 (0.1875 is the decimal equivalent of 3/16).
3. Add the decimal from step 2 to the whole number from step 1.
- Add 5 and 0.1875: 5 + 0.1875 = 5.1875.
Therefore, 5 3/16 as a decimal is 5.1875.
To convert a mixed number like 5 3/16 to a decimal, you can use long division. Here's how you can do it:
Step 1: Set up the division by writing the mixed number as a fraction. In this case, 5 3/16 can be written as (5 * 16 + 3) / 16.
Step 2: Perform the division. Divide 83 by 16. The quotient is the whole number part of the mixed number, and the remainder becomes the numerator of the fraction part.
83 ÷ 16 = 5 with a remainder of 3
Step 3: Write the result as a decimal. The whole number part is 5, and the fraction part is 3/16, so the decimal equivalent of 5 3/16 is 5.1875.
Therefore, the decimal equivalent of 5 3/16 is 5.1875.