Write the fraction 2 7/12

as a decimal rounded to the nearest hundredth

To convert the mixed number \( 2 \frac{7}{12} \) to a decimal:

1. **Convert the fraction** \( \frac{7}{12} \) to a decimal:
   \[
   \frac{7}{12} \approx 0.5833
   \]

2. **Add the whole number** to the decimal:
   \[
   2 + 0.5833 \approx 2.5833
   \]

3. **Round** the decimal to the nearest hundredth:
   \[
   2.5833 \text{ rounded to the nearest hundredth is } 2.58
   \]

So, \( 2 \frac{7}{12} \) as a decimal rounded to the nearest hundredth is **2.58**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert a different mixed number, like \( 3 \frac{5}{8} \), to a decimal?
2. What is \( 4 \frac{1}{3} \) as a decimal rounded to the nearest hundredth?
3. How would you convert \( \frac{7}{12} \) to a decimal without rounding?
4. How can you convert \( 2.58 \) back into a mixed number?
5. How do you round 2.585 to the nearest hundredth?

**Tip:** When rounding decimals, look at the digit in the thousandth place to determine how to round the digit in the hundredth place.

Learn how to convert the mixed number 2 7/12 to a decimal rounded to the nearest hundredth. This problem covers key concepts in fractions, decimals, and rounding. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation