How BODMAS Fractions Calculator Works
BODMAS Fractions Calculator works by applying the BODMAS order of operations — Brackets, Orders, Division, Multiplication, Addition, Subtraction — to fraction expressions in 3 steps.
Enter 2 fractions with a chosen operator (+, −, ×, ÷). The calculator identifies the operation type, applies the correct fraction arithmetic method, and returns the result in simplified form with each step shown.
BODMAS Fractions Calculator converts mixed numbers to improper fractions before processing. The calculator finds the Lowest Common Denominator (LCD) for addition and subtraction, multiplies straight across for multiplication, and flips the divisor for division.
BODMAS Fractions Formula
The BODMAS Fractions formula uses 4 arithmetic rules — one for each operation type — applied in the BODMAS priority order.
Multiplication and division have equal priority and are solved left to right. Addition and subtraction have equal priority and are solved left to right after multiplication and division.
BODMAS Fractions Conversions Chart
The BODMAS Fractions conversions chart shows 12 common fractions with their decimal and percentage equivalents.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333 | 33.3% |
| 2/3 | 0.667 | 66.7% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.167 | 16.7% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
Convert a fraction to a decimal by dividing the numerator by the denominator. Convert a decimal to a percentage by multiplying by 100. Convert a percentage to a fraction by placing the number over 100 and simplifying.