What is 6 1/4 written as a decimal? A. 6.5 B. 6.2 C. 6.25 D. 6.025
The Correct Answer and Explanation is:
The correct answer is: C. 6.25
Explanation:
To convert a mixed number like 6 1/4 into a decimal, we break it into two parts:
- The whole number part:
This is 6. - The fractional part:
This is 1/4.
Now, we convert the fractional part (1/4) into a decimal.
To do this, divide the numerator by the denominator:14=0.25\frac{1}{4} = 0.2541=0.25
So,6+0.25=6.256 + 0.25 = 6.256+0.25=6.25
Therefore, 6 1/4 written as a decimal is 6.25.
Why this works:
A mixed number is made up of a whole number and a proper fraction. In this case, you have 6 full units and one-fourth of another unit.
You can think of it as measuring something. If you have 6 whole meters of cloth and then an extra quarter meter, altogether you have 6.25 meters.
This conversion is a common skill in math because fractions and decimals are both ways to express parts of a whole. Decimals are often easier to work with in calculations like addition, subtraction, or when using a calculator.
Knowing some basic fraction-to-decimal conversions helps speed things up:
- 1/2 = 0.5
- 1/4 = 0.25
- 3/4 = 0.75
- 1/3 ≈ 0.333…
So, whenever you see 1/4, just remember it is 0.25.
Finally, adding that to the whole number:6+0.25=6.256 + 0.25 = 6.256+0.25=6.25
Answer: C. 6.25
