What is the decimal equivalent of 7 4/5? A. 7.125 B. 7.4 C. 7.45 D. 7.8 Correct please.
The Correct Answer and Explanation is:
To convert the mixed number 7 4/5 into a decimal, follow these steps:
Step 1: Convert the Fraction to Decimal
The mixed number is 7 4/5, which consists of a whole number (7) and a fraction (4/5). First, we need to convert the fraction into a decimal.
The fraction 4/5 can be converted to decimal by dividing 4 by 5:4÷5=0.84 \div 5 = 0.84÷5=0.8
So, 4/5 is equal to 0.8 in decimal form.
Step 2: Add the Whole Number
Now, we add the decimal equivalent of the fraction (0.8) to the whole number (7):7+0.8=7.87 + 0.8 = 7.87+0.8=7.8
Step 3: Conclusion
Therefore, the decimal equivalent of 7 4/5 is 7.8.
So the correct answer is D. 7.8.
This method works for converting any mixed number into a decimal form. You convert the fraction part into a decimal and then add it to the whole number.
