How to Put Fractions in A Calculator Ti-84

Working with fractions on your TI-84 calculator is straightforward once you understand the proper input methods. This guide will walk you through entering fractions, performing calculations, and converting between fraction and decimal formats.

Entering Fractions on TI-84

The TI-84 has two primary methods for entering fractions: the fraction template and the fraction bar method. Both methods are accurate and produce the same results.

Method 1: Fraction Template

Press the MATH key and select option 1: Frac (this is the fraction template).
Enter the numerator (top number) of your fraction.
Press the ↓ arrow key to move to the denominator position.
Enter the denominator (bottom number) of your fraction.
Press ENTER to complete the fraction.

Example: Entering 3/4

To enter the fraction three-fourths:

MATH → 1:Frac → 3 → ↓ → 4 → ENTER

The calculator will display: 3/4

Method 2: Fraction Bar

Enter the numerator (top number) of your fraction.
Press the MATH key and select option 1: Frac (this is the fraction bar).
Enter the denominator (bottom number) of your fraction.
Press ENTER to complete the fraction.

Example: Entering 2/5

To enter the fraction two-fifths:

2 → MATH → 1:Frac → 5 → ENTER

The calculator will display: 2/5

Tip

After entering a fraction, you can perform calculations directly with it. The TI-84 will automatically simplify fractions when possible.

Calculating with Fractions

Once you've entered your fractions, you can perform various calculations including addition, subtraction, multiplication, and division.

Basic Operations

To perform calculations with fractions:

Enter the first fraction using one of the methods above.
Press the operation key (+, -, ×, ÷).
Enter the second fraction.
Press ENTER to see the result.

Example: Adding Fractions

Calculate 1/2 + 1/3:

MATH → 1:Frac → 1 → ↓ → 2 → ENTER → + → MATH → 1:Frac → 1 → ↓ → 3 → ENTER → ENTER

The calculator will display: 5/6

Mixed Numbers

For mixed numbers (whole numbers with fractions), use the following approach:

Enter the whole number.
Press the MATH key and select option 1: Frac.
Enter the numerator and denominator of the fractional part.
Press ENTER to complete the mixed number.

Example: Entering Mixed Number

Enter 2 1/4:

2 → MATH → 1:Frac → 1 → ↓ → 4 → ENTER

The calculator will display: 2 1/4

Formula Used

When adding fractions: (a/b) + (c/d) = [(a×d)+(c×b)]/(b×d)

The TI-84 automatically simplifies the result to its simplest form.

Converting Fractions

You can convert between fractions and decimals on your TI-84 calculator.

Fraction to Decimal

Enter your fraction using one of the methods above.
Press the MATH key and select option 2: Dec.
The calculator will display the decimal equivalent.

Example: Convert 3/8 to Decimal

Convert 3/8 to decimal:

MATH → 1:Frac → 3 → ↓ → 8 → ENTER → MATH → 2:Dec

The calculator will display: 0.375

Decimal to Fraction

Enter your decimal number.
Press the MATH key and select option 1: Frac.
The calculator will display the fractional equivalent.

Example: Convert 0.625 to Fraction

Convert 0.625 to fraction:

0.625 → MATH → 1:Frac

The calculator will display: 5/8

Note

The TI-84 will convert decimals to fractions with denominators up to 9999. For more precise conversions, you may need to use a different calculator.

Common Mistakes

Avoid these common errors when working with fractions on your TI-84:

1. Forgetting to Press ENTER

After entering a fraction, always press ENTER to complete the input. Forgetting this step can cause errors in calculations.

2. Incorrect Fraction Bar Placement

When using the fraction bar method, ensure you press the fraction key (MATH → 1:Frac) after the numerator but before the denominator.

3. Mixed Number Format

When entering mixed numbers, make sure to press the fraction key after the whole number but before the fractional part.

4. Simplifying Fractions

The TI-84 automatically simplifies fractions, but it's good practice to verify the result, especially with complex fractions.

FAQ

Can I enter negative fractions on the TI-84?: Yes, you can enter negative fractions by placing a negative sign before the numerator or using the negative key before entering the fraction.
How do I clear a fraction entry?: Press the CLEAR key to remove the current fraction entry. This will clear the entire display.
Can the TI-84 handle complex fractions?: The TI-84 can handle simple fractions, but for complex fractions (those with variables), you may need to use a different calculator or software.
Why does my fraction keep changing when I enter it?: The TI-84 automatically simplifies fractions. If you enter 4/8, it will display as 1/2. This is normal behavior.
How do I store a fraction for later use?: You can store a fraction in a variable by pressing STO→ and selecting a variable (like A, B, etc.) after entering the fraction.