Math Problem Statement

Write the fraction 2 7/12

as a decimal rounded to the nearest hundredth

Solution

To convert the mixed number 27122 \frac{7}{12} to a decimal:

  1. Convert the fraction 712\frac{7}{12} to a decimal: 7120.5833\frac{7}{12} \approx 0.5833

  2. Add the whole number to the decimal: 2+0.58332.58332 + 0.5833 \approx 2.5833

  3. Round the decimal to the nearest hundredth: 2.5833 rounded to the nearest hundredth is 2.582.5833 \text{ rounded to the nearest hundredth is } 2.58

So, 27122 \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 3583 \frac{5}{8}, to a decimal?
  2. What is 4134 \frac{1}{3} as a decimal rounded to the nearest hundredth?
  3. How would you convert 712\frac{7}{12} to a decimal without rounding?
  4. How can you convert 2.582.58 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.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Rounding

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6