Math Problem Statement

convert into decimals 4/15

Solution

To convert 415\frac{4}{15} into a decimal, divide 4 by 15:

415=0.2666\frac{4}{15} = 0.2666\ldots

This is a repeating decimal, where the digit 6 repeats indefinitely. It can be written as:

0.260.\overline{26}

Let me know if you need further clarification or have any other questions!


Here are some related questions for further practice:

  1. How would you convert 79\frac{7}{9} into a decimal?
  2. What is the decimal form of 58\frac{5}{8}?
  3. Can every fraction be written as a terminating decimal?
  4. What is the decimal expansion of 13\frac{1}{3}?
  5. How do you round repeating decimals to the nearest thousandth?

Tip: To convert a fraction to a decimal, simply divide the numerator by the denominator. If the decimal repeats, you can use a bar notation (overline) to indicate the repeating part.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal Conversion
Repeating Decimals

Formulas

Decimal Conversion: numerator ÷ denominator

Theorems

Division Algorithm

Suitable Grade Level

Grades 5-7