Express 4 1/8 in decimal form.
A) 4.125
B) 4.15
C) 0.415
D) 4.08
The Correct Answer and Explanation is:
The correct answer is A) 4.125.
To express the mixed number ( 4 \frac{1}{8} ) in decimal form, follow these steps:
Step 1: Understand the components of the mixed number
A mixed number consists of a whole number and a fraction. In this case:
- The whole number is 4.
- The fractional part is ( \frac{1}{8} ).
Step 2: Convert the fraction to a decimal
To convert ( \frac{1}{8} ) into a decimal, perform the division:
[
\frac{1}{8} = 1 \div 8 = 0.125
]
Thus, ( \frac{1}{8} ) is equal to 0.125 in decimal form.
Step 3: Add the whole number and the decimal fraction
Now that we have converted the fraction to a decimal, add it to the whole number:
[
4 + 0.125 = 4.125
]
Therefore, ( 4 \frac{1}{8} ) in decimal form is 4.125.
Why the other options are incorrect:
- Option B: 4.15 – This option is incorrect because ( \frac{1}{8} ) is not equal to 0.15. In fact, ( \frac{1}{8} = 0.125 ), not 0.15. The decimal 0.15 represents ( \frac{3}{20} ), which is a different fraction.
- Option C: 0.415 – This option is incorrect because it doesn’t include the whole number part of 4. Also, the fractional part is miscalculated; ( 0.415 ) doesn’t represent ( \frac{1}{8} ).
- Option D: 4.08 – This option is incorrect because 4.08 would represent ( 4 \frac{8}{100} ), which is different from ( 4 \frac{1}{8} ). The fraction ( \frac{1}{8} ) does not convert to 0.08; instead, it equals 0.125.
Thus, the correct decimal equivalent of ( 4 \frac{1}{8} ) is 4.125.