what is 6 4/25 as a decimal
The Correct Answer and Explanation is:
To convert 6 4/25 to a decimal, follow these steps:
Step 1: Convert the fraction 4/25 to a decimal.
We begin by dividing the numerator (4) by the denominator (25): 425=0.16\frac{4}{25} = 0.16254=0.16
Step 2: Add this decimal to the whole number part (6).
Now, we take the whole number (6) and add the decimal value (0.16) from the fraction: 6+0.16=6.166 + 0.16 = 6.166+0.16=6.16
Thus, 6 4/25 as a decimal is 6.16.
Explanation:
When dealing with mixed numbers like 6 4/25, we separate the whole number (6) from the fractional part (4/25). The fraction can be converted to a decimal by dividing the numerator by the denominator. In this case, dividing 4 by 25 gives us 0.16. Adding this result to the whole number part gives the final decimal form, 6.16.
This process can be used with any mixed number. Simply convert the fractional part to a decimal and then add it to the whole number. This method is particularly useful when working with measurements or calculations that require decimal notation, as decimals are often easier to use in operations such as addition, subtraction, multiplication, and division.
In this case, 6 4/25 represents a value slightly greater than 6, specifically 6.16, making it more convenient to work with in certain mathematical or real-life applications, such as financial calculations or engineering measurements.
