Use long division to convert 5 3/16 to a decimal. 1 point
To convert 5 3/16 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction:
5 3/16 = (5 * 16 + 3) / 16 = 83/16
Step 2: Perform the long division:
5. 3 Remainder
________________________
16 | 83
- 80
______
3
The quotient is 5.3 with a remainder of 3.
Step 3: Express the remainder as a fraction over the denominator:
3/16
Step 4: Add the quotient and the fractional remainder:
5.3 + 3/16 = 5.3 + 0.1875
Step 5: Add the decimal and fraction:
5.3 + 0.1875 = 5.4875
Therefore, 5 3/16 is equal to 5.4875 when expressed as a decimal.
To convert 5 3/16 to a decimal using long division, we first need to convert the mixed number to an improper fraction.
Step 1: Multiply the whole number by the denominator of the fraction and add the numerator.
5 * 16 + 3 = 83
Step 2: Write the result from step 1 over the original denominator.
83/16
Step 3: Perform long division by dividing 83 by 16.
5. _______________________
16 | 83
- 80
--
30
- 16
---
140
- 112
----
280
- 272
----
80
Step 4: The remainder is 80.
Step 5: Write the remainder as a fraction over the original denominator.
80/16
Step 6: Simplify the fraction, if possible.
80/16 simplifies to 5/1 or simply 5.
Therefore, 5 3/16 as a decimal is 5.1875.
To convert 5 3/16 to a decimal using long division, follow these steps:
Step 1: Divide the whole number by the denominator.
5 ÷ 16 = 0 remainder 5
Step 2: Bring down the numerator and add it to the remainder.
The new dividend is 53.
Step 3: Divide the new dividend by the denominator.
53 ÷ 16 = 3 remainder 5
Step 4: Repeat steps 2 and 3 until the remainder is zero or until you have reached the desired level of decimal places.
The decimal places in this case are limited to 1 point, so we can stop here.
Step 5: Write the quotient as a whole number and a decimal.
The quotient is 3.
Step 6: Add the decimal part to the whole number.
3 + 0.3125 = 3.3125
So, 5 3/16 is equivalent to the decimal 3.3125.