Convert 5 3/4 to a decimal. Round to the nearest tenth. 1: 5.75 2: 5.7 3: 5.8 4: 6
The Correct Answer and Explanation is :
To convert the mixed number (5 \frac{3}{4}) into a decimal and round it to the nearest tenth, let’s break it down step-by-step:
Step 1: Convert the Fraction to a Decimal
First, we need to convert the fraction (\frac{3}{4}) into a decimal. To do this, we divide the numerator (3) by the denominator (4):
[
\frac{3}{4} = 3 \div 4 = 0.75
]
Step 2: Add the Whole Number
Now, we add the decimal equivalent of the fraction to the whole number (5):
[
5 + 0.75 = 5.75
]
So, the decimal equivalent of (5 \frac{3}{4}) is 5.75.
Step 3: Round to the Nearest Tenth
Next, we round 5.75 to the nearest tenth. When rounding, we look at the digit in the hundredths place (the second digit after the decimal point). In 5.75, the hundredths place is 5.
- If the hundredths digit is 5 or greater, we round the tenths digit up by 1.
- Since the hundredths digit is 5, we round 5.75 to 5.8.
Final Answer:
The correct answer, rounded to the nearest tenth, is 5.8.
Explanation:
- The first step was converting the fraction (\frac{3}{4}) into a decimal, which gave us 0.75.
- Then, we added the whole number 5 to this decimal, resulting in 5.75.
- Finally, we rounded 5.75 to the nearest tenth. Since the hundredths digit was 5, we rounded up the tenths digit, giving us 5.8.
Thus, 5.8 is the correct answer.
So, the correct answer is 3: 5.8.