Fraction Calculator – Solve Fractions Easily
A fraction calculator is a powerful online tool that helps students, teachers, and professionals solve fraction problems instantly. Whether you want to add fractions, convert decimals to fractions, compare two fractions, or work with mixed numbers, this calculator makes every calculation simple and accurate. It works perfectly on mobile devices, making it ideal for quick homework help or fast calculations on the go.
This guide explains how a fraction calculator works, how to enter values correctly, and how to solve fractions manually using formulas. You’ll also learn how to convert fractions to decimals without a calculator and how to compare which fraction is bigger.
Fraction Calculator
Add/sub/multiply/divide — convert between decimals and fractions — compare and decompose.
How to enter fractions / examples
3 1/2→ mixed number (3 and 1/2)7/4→ improper fraction0.75→ decimal- Partial fractions:
(2x+3)/((x+1)(x+2))or5/((x-1)(x+4))
What is a Fraction Calculator?
A fraction calculator is an online tool that performs operations like:
- Adding fractions
- Subtracting fractions
- Multiplying fractions
- Dividing fractions
- Converting decimal to fraction
- Converting fraction to decimal
- Solving mixed fractions
- Comparing fractions
- Doing partial fraction decomposition
It supports simple fractions (½), improper fractions (7/3), and complex expressions.
1. How to Enter Fractions in a Calculator
Many people search:
“How to put a fraction in a calculator?”
“How to make a fraction on a calculator?”
The method is simple:
Using a Fraction Button (a𝑏/c key)
Most calculators have a key such as:
a b/c or n/d or F<>D
Steps:
- Enter the whole number (optional).
- Press the fraction key.
- Enter the numerator.
- Press the fraction key again.
- Enter the denominator.
Example: To enter 3½, press:3 → a b/c → 1 → a b/c → 2
2. Fraction Calculator Operations With Formulas
A) Addition of Fractions
Formula:
[
\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}
]
Example:
[
\frac{2}{3} + \frac{1}{6} = \frac{12 + 3}{18} = \frac{15}{18} = \frac{5}{6}
]
B) Subtraction of Fractions
Formula:
[
\frac{a}{b} – \frac{c}{d} = \frac{ad – bc}{bd}
]
Example:
[
\frac{5}{8} – \frac{1}{4} = \frac{20 – 8}{32} = \frac{12}{32} = \frac{3}{8}
]
C) Multiplication of Fractions
Formula:
[
\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}
]
D) Division of Fractions
Formula:
[
\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
]
3. Mixed Fraction Calculator (With Example)
A mixed fraction has a whole number and a fraction:
[
3 \frac{2}{5}
]
Convert to Improper Fraction:
[
\text{Improper} = (3 \times 5) + 2 = 17/5
]
The mixed fraction calculator does this automatically.
4. Fraction to Decimal Calculator (Formula & Table)
To convert a fraction into a decimal:
Formula:
[
\text{Decimal} = \frac{\text{numerator}}{\text{denominator}}
]
Example:
[
\frac{1}{4} = 1 ÷ 4 = 0.25
]
Fraction to Decimal Conversion Table
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333 |
| 1/4 | 0.25 |
| 2/5 | 0.4 |
| 3/8 | 0.375 |
| 5/6 | 0.833 |
The fraction to decimal calculator solves these instantly.
5. Decimal to Fraction Calculator (Formula & Table)
To convert decimal to fraction:
Formula:
[
0.75 = \frac{75}{100} = \frac{3}{4}
]
Decimal to Fraction Table
| Decimal | Fraction |
|---|---|
| 0.1 | 1/10 |
| 0.2 | 1/5 |
| 0.25 | 1/4 |
| 0.5 | 1/2 |
| 0.75 | 3/4 |
| 1.25 | 5/4 |
A decimal to fraction calculator performs this automatically.
6. How to Convert Fraction to Decimal Without a Calculator
Many learners ask:
“How to convert a fraction to decimal without calculator?”
Use long division.
Example:
Convert 3/8:
3 ÷ 8 = 0.375
Steps:
- Divide numerator by denominator.
- Add zeros after decimal point if needed.
- Continue division until result completes or repeats.
7. Which Fraction Is Bigger? Fraction Comparison Table
To compare two fractions, convert them to decimals or cross-multiply.
Formula (Cross Multiplication):
[
\frac{a}{b} \text{ vs } \frac{c}{d}
]
Compare:
[
a \times d \text{ and } c \times b
]
Example Table:
| Fraction A | Fraction B | Which is bigger? |
|---|---|---|
| 2/3 | 1/2 | 2/3 |
| 3/5 | 7/10 | 7/10 |
| 4/9 | 5/12 | 5/12 |
A which fraction is bigger calculator does this instantly.
8. Partial Fraction Decomposition Calculator
This tool breaks a complicated rational expression into simpler fractions.
Example:
[
\frac{5}{(x+1)(x+2)} = \frac{3}{x+1} – \frac{2}{x+2}
]
A partial fraction decomposition calculator solves such algebraic problems in seconds.
9. Benefits of Using an Online Fraction Calculator
- Fast and accurate results
- Mobile-friendly interface
- No need to remember formulas
- Supports mixed numbers, improper fractions, decimals, and percentages
- Perfect for students, teachers, and professionals
A fraction calculator is an essential tool for anyone dealing with fractions, decimals, or mixed numbers. From simple arithmetic to partial fraction decomposition, it handles all types of fraction-related math problems. Whether you are converting decimals, comparing large fractions, or solving fractions manually, this calculator saves time and provides accurate results instantly.
