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How to Put One Third in A Calculator

Reviewed by Calculator Editorial Team

One third (1/3) is a common fraction used in many calculations. This guide explains how to properly enter and work with one third in a calculator, including decimal and fraction methods, with practical examples and troubleshooting tips.

Methods to Enter One Third

There are two primary methods to enter one third in a calculator: the decimal method and the fraction method. Each has its advantages depending on the type of calculation you're performing.

Key Concepts

One third is equivalent to 0.333... (repeating) in decimal form. In fraction form, it's simply 1/3. The decimal form is useful for calculations requiring precise decimal results, while the fraction form maintains exact values.

Decimal Method

The decimal method involves entering one third as 0.333... (repeating). This is straightforward but may lead to rounding errors in some calculations.

Steps to Use the Decimal Method

  1. Press the number keys to enter 0.333
  2. For repeating decimals, some calculators have a repeating decimal function (often labeled as "R" or "REP")
  3. Perform your calculation as needed

Pro Tip

Most scientific calculators can handle repeating decimals by pressing the "R" button after entering the repeating portion. For example, enter 0.333 and press "R" to indicate the repeating 3.

Fraction Method

The fraction method involves entering one third as a fraction (1/3). This maintains exact values and is often more precise for mathematical operations.

Steps to Use the Fraction Method

  1. Enter the numerator (1)
  2. Press the division key (÷ or /)
  3. Enter the denominator (3)
  4. Perform your calculation as needed

Note

Not all calculators support fraction input directly. If your calculator doesn't support fractions, you'll need to use the decimal method or convert the fraction to a decimal first.

Calculator Examples

Let's look at some practical examples of using one third in calculations.

Example 1: Simple Multiplication

Calculate 2 × 1/3:

  1. Enter 2
  2. Press the multiplication key (×)
  3. Enter 1/3 (or 0.333)
  4. Press equals (=)
  5. Result: 0.666... (or 2/3)

Example 2: Division with One Third

Calculate 12 ÷ 1/3:

  1. Enter 12
  2. Press the division key (÷)
  3. Enter 1/3 (or 0.333)
  4. Press equals (=)
  5. Result: 36 (since dividing by 1/3 is the same as multiplying by 3)

Mathematical Relationship

a ÷ (1/3) = a × 3

Troubleshooting

If you're having issues entering one third in your calculator, try these solutions:

Calculator Doesn't Accept Fractions

Convert the fraction to a decimal first (1/3 ≈ 0.333) or use the decimal method.

Repeating Decimal Issues

Check if your calculator has a repeating decimal function. If not, use the decimal approximation.

Incorrect Results

Verify your input method and ensure you're using the correct operator (× for multiplication, ÷ for division).

Important Note

Some calculators may display results in fraction form even if you entered decimals. This is normal and indicates the calculator is maintaining exact values.

FAQ

Can I enter one third directly in all calculators?

No, not all calculators support fraction input. Scientific and graphing calculators typically support fractions, while basic calculators usually require decimal input.

Is 0.333... the exact value of one third?

No, 0.333... is an approximation. The exact value is the repeating decimal 0.333..., but calculators may show a rounded version depending on their precision settings.

How do I convert one third to a percentage?

Multiply one third by 100: 1/3 × 100 ≈ 33.33%. In a calculator, enter 1 ÷ 3 × 100 and press equals.

Why does my calculator show different results for 1/3 and 0.333?

This is normal behavior. Calculators may display results in different forms (fraction or decimal) based on their settings and the type of calculation performed.