What is 11/16 in decimal form?
a 0.3125
b 0.6875
c 1.45
d I don’t know
The Correct Answer and Explanation is :
To convert the fraction ( \frac{11}{16} ) into decimal form, you divide the numerator (11) by the denominator (16).
Calculation:
- Performing the Division:
[
11 \div 16 = 0.6875
]
Answer:
Thus, the decimal form of ( \frac{11}{16} ) is 0.6875, which corresponds to option b.
Explanation:
Converting a fraction to a decimal involves division. In this case, you take the numerator (11) and divide it by the denominator (16). This process can be done using long division or a calculator.
- Long Division Method:
- When you divide 11 by 16, you note that 16 goes into 11 zero times. Therefore, you write down 0.
- Next, you add a decimal point and a zero, making it 110.
- Now, 16 goes into 110 six times (because ( 16 \times 6 = 96 )).
- You subtract 96 from 110, which leaves you with 14.
- Bring down another zero, making it 140.
- 16 goes into 140 eight times (because ( 16 \times 8 = 128 )).
- Subtract 128 from 140, which leaves you with 12.
- Bring down another zero, making it 120.
- 16 goes into 120 seven times (because ( 16 \times 7 = 112 )).
- Subtract 112 from 120, leaving 8.
- Bring down another zero, making it 80.
- 16 goes into 80 five times (because ( 16 \times 5 = 80 )).
- Now, you’ve reached a remainder of 0.
- Conclusion:
The result from the division process is ( 0.6875 ). This is a useful conversion since decimals are often more intuitive and easier to work with in various mathematical contexts, such as in measurements, percentages, and financial calculations. Understanding how to convert fractions to decimals expands mathematical literacy and aids in real-world applications.
Therefore, the correct answer is 0.6875 (option b).