Use long division to convert 2 7/16 to a decimal............
To convert 2 7/16 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction.
2 7/16 = (2 * 16 + 7)/16 = 39/16
Step 2: Perform long division by dividing the numerator (39) by the denominator (16).
2.4375 → quotient
________________
16 | 39
- 32
______
70
- 64
_____
60
- 48
______
120
- 112
______
80
- 80
_____
0
Step 3: Read the quotient obtained in the long division process.
The quotient of 2 7/16 in decimal form is 2.4375.
To convert 2 7/16 to a decimal using long division, follow these steps:
Step 1: Write down the mixed number as a fraction.
2 7/16 = (2 * 16 + 7) / 16
= 39/16
Step 2: Perform long division using 39 as the numerator and 16 as the denominator.
Divide 39 by 16. The quotient (whole number part) will be on the top, and the remainder will be on the bottom.
2.4375
___________
16| 39
- 32
______
70
- 64
______
60
- 48
______
120
- 112
_______
80
- 80
_______
0
Step 3: Keep dividing the remainder by 16 until the remainder becomes 0 or starts repeating.
In this case, the remainder becomes 0, so the division is complete.
Step 4: Write down the quotient from each step after the decimal point to obtain the decimal representation.
The quotient from each step is 2, 4, 3, 7, and 5.
Therefore, 2 7/16 is equivalent to the decimal 2.4375.
To convert the mixed number 2 7/16 to a decimal using long division, follow these steps:
Step 1: Write the mixed number as an improper fraction:
2 7/16 = (2*16 + 7)/16 = 39/16
Step 2: Perform long division by dividing the numerator (39) by the denominator (16):
__
16 | 39
-32
---
7
The quotient is 2 with a remainder of 7.
Step 3: Write the quotient as the whole number part and the remainder as the fractional part.
The decimal equivalent of 2 7/16 is 2.4375.