Math Problem Statement

Write 18/11 as a decimal.

Solution

To convert 1811\frac{18}{11} into a decimal, you can simply perform the division.

1811=18÷11=1.636363\frac{18}{11} = 18 \div 11 = 1.6363\overline{63}

The result is a repeating decimal: 1.6363631.6363\overline{63}, where the digits "63" repeat indefinitely.

Would you like further details on repeating decimals or any other clarification?

Here are 5 related questions to expand your understanding:

  1. How can you convert other fractions like 56\frac{5}{6} into a decimal?
  2. What is the difference between a repeating decimal and a terminating decimal?
  3. Can every fraction be expressed as a repeating or terminating decimal?
  4. How do you express repeating decimals in fractional form?
  5. Why do some fractions result in repeating decimals?

Tip: When converting fractions to decimals, repeating decimals can often be recognized by long division when the remainder starts repeating.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions to Decimals
Repeating Decimals
Division

Formulas

Fraction to Decimal Conversion: numerator ÷ denominator

Theorems

-

Suitable Grade Level

Grades 5-7