The fraction 2 5/8 is equivalent to which of the following decimal numbers?
2.625
2.6
2.63
2.58
The correct answer and explanation is:
Correct Answer: 2.625
To convert the mixed number 2 5/8 to a decimal, start by understanding its parts. A mixed number combines a whole number and a fraction. Here, the whole number is 2, and the fraction is 5/8.
Begin by converting the fraction 5/8 into a decimal. This is done by dividing the numerator (5) by the denominator (8): 5÷8=0.6255 ÷ 8 = 0.625
Now, add this decimal to the whole number: 2+0.625=2.6252 + 0.625 = 2.625
So, the decimal equivalent of 2 5/8 is 2.625.
Let’s compare it with the other options:
- 2.6 is too low. It is equal to 2 3/5, and 3/5 is 0.6, which is less than 5/8.
- 2.63 is close but still less than 2.625.
- 2.58 is much less than 2.625 and is not a correct match.
Therefore, the only accurate conversion of 2 5/8 to decimal form is 2.625.
Converting fractions to decimals is a crucial mathematical skill, particularly in real-world applications such as measurements, finance, and statistics. It helps in comparing values, performing arithmetic, and interpreting data more effectively. Understanding how to convert between forms also strengthens one’s number sense and reinforces the relationship between division and fractions. Recognizing that 5 divided by 8 equals 0.625 reinforces the fact that fractions are another way to represent division, and mixed numbers are essentially sums of whole numbers and fractions.