Math Problem Statement

Write 

3

11

16

 as a decimal number.

Solution

To convert the fraction 311\frac{3}{11} to a decimal, we divide 3 by 11:

3÷11=0.27273 \div 11 = 0.2727\ldots

This is a repeating decimal: 0.270.\overline{27}.

Thus, the fraction 311\frac{3}{11} as a decimal is approximately 0.2727, where the digits 27 repeat infinitely.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you convert 1611\frac{16}{11} to a decimal?
  2. How would you round 0.270.\overline{27} to two decimal places?
  3. How do you convert repeating decimals back to fractions?
  4. What is 311\frac{3}{11} as a percentage?
  5. Can you find the decimal representation of 38\frac{3}{8}?

Tip: Repeating decimals are often indicated by placing a line (vinculum) over the repeating part of the digits, like 0.270.\overline{27}.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Repeating Decimals

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8