what is 4 7/8 in decimal form
The Correct Answer and Explanation is:
To convert the mixed number 4 7/8 into a decimal, follow these steps:
- Separate the Whole Number and Fraction:
A mixed number consists of a whole number and a fraction. In this case, the whole number is 4, and the fraction is 7/8. - Convert the Fraction to a Decimal:
To convert the fraction 7/8 into a decimal, you divide the numerator (7) by the denominator (8). Performing the division: 7÷8=0.8757 \div 8 = 0.8757÷8=0.875 - Add the Whole Number to the Decimal:
The whole number is 4, and the decimal from the fraction is 0.875. Now, add them together: 4+0.875=4.8754 + 0.875 = 4.8754+0.875=4.875
Thus, the mixed number 4 7/8 in decimal form is 4.875.
Explanation:
The process is essentially about separating the whole number and the fractional part. By converting the fraction 7/8 to its decimal equivalent, 0.875, you can then add it to the whole number. The result is a straightforward decimal representation of the original mixed number.
This method is helpful for converting any mixed number to a decimal, whether the fraction is a simple fraction (like 1/2 or 1/4) or more complex. The key is dividing the numerator by the denominator to get the decimal equivalent of the fraction and then combining it with the whole number.
