Math Problem Statement

how to turn fraction to a decimal

Solution

To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number).

Steps:

  1. Identify the Numerator and Denominator: In the fraction ab\frac{a}{b}, aa is the numerator, and bb is the denominator.
  2. Divide: Perform the division a÷ba \div b.

Example:

Convert 34\frac{3}{4} to a decimal: 3÷4=0.753 \div 4 = 0.75 So, 34=0.75\frac{3}{4} = 0.75 as a decimal.

Special Cases:

  • If the numerator is smaller than the denominator: The result will be a decimal less than 1 (e.g., 25=0.4\frac{2}{5} = 0.4).
  • If the division doesn't end: You may get a repeating decimal (e.g., 13=0.333\frac{1}{3} = 0.333\ldots, often written as 0.30.\overline{3}).

Key Points:

  • Use a calculator for more complex divisions.
  • Some fractions may result in a repeating or terminating decimal.

Would you like more details or have any questions?

Related Questions:

  1. How do you convert a repeating decimal back into a fraction?
  2. How do you convert an improper fraction to a decimal?
  3. What is the decimal form of 78\frac{7}{8}?
  4. How can you estimate a fraction's decimal value without a calculator?
  5. How do you compare fractions by converting them to decimals?

Tip:

When dealing with repeating decimals, use a bar over the repeating digits to indicate that the pattern continues indefinitely.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Division

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6