Math Problem Statement

31/90 as recurring decimal

Solution

To express 3190\frac{31}{90} as a recurring decimal, we divide 31 by 90:

31÷90=0.344444431 \div 90 = 0.3444444\ldots

So, 3190=0.344\frac{31}{90} = 0.34\overline{4}.

This means the decimal repeats the digit "4" after the first two digits.

Would you like further details on this process, or have any questions?

Here are 5 related questions you may find helpful:

  1. How do you convert any fraction to a recurring decimal?
  2. What is the difference between terminating and recurring decimals?
  3. How do you identify the length of a repeating sequence in a recurring decimal?
  4. Can recurring decimals always be written as fractions?
  5. How do you convert a recurring decimal back into a fraction?

Tip: When dividing to find a decimal, recognize recurring decimals by spotting repeating digit patterns in the quotient.

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Math Problem Analysis

Mathematical Concepts

Fractions
Recurring Decimals
Division

Formulas

Division to convert fractions to decimals

Theorems

None

Suitable Grade Level

Grades 6-8