Fraction calculator
This calculator subtracts two fractions. When fractions have the same denominators calculator simply subtracts the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.
The result:
5/8 - 3/8 = 1/4 = 0.25
The result spelled out in words is one quarter.How do we solve fractions step by step?
- Subtract: 5/8 - 3/8 = 5 - 3/8 = 2/8 = 2 · 1/2 · 4 = 1/4
Both fractions have the same denominator, which is then the common denominator in the subtracting them. In the following intermediate step, cancel by a common factor of 2 gives 1/4.
In other words, five eighths minus three eighths equals one quarter.
Rules for expressions with fractions:
Fractions - write a forward slash to separate the numerator and the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.Mixed numerals (mixed numbers or fractions) - keep one space between the whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2.
A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal dot . and they are automatically converted to fractions - i.e. 1.45.
Math Symbols
Symbol | Symbol name | Symbol Meaning | Example |
---|---|---|---|
+ | plus sign | addition | 1/2 + 1/3 |
- | minus sign | subtraction | 1 1/2 - 2/3 |
* | asterisk | multiplication | 2/3 * 3/4 |
× | times sign | multiplication | 2/3 × 5/6 |
: | division sign | division | 1/2 : 3 |
/ | division slash | division | 1/3 / 5 |
: | colon | complex fraction | 1/2 : 1/3 |
^ | caret | exponentiation / power | 1/4^3 |
() | parentheses | calculate expression inside first | -3/5 - (-1/4) |
Examples:
• adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2
• multiplying fractions: 7/8 * 3/9
• dividing Fractions: 1/2 : 3/4
• reciprocal of a fraction: 1 : 3/4
• square of a fraction: 2/3 ^ 2
• cube of a fraction: 2/3 ^ 3
• exponentiation of a fraction: 1/2 ^ 4
• fractional exponents: 16 ^ 1/2
• adding fractions and mixed numbers: 8/5 + 6 2/7
• dividing integer and fraction: 5 ÷ 1/2
• complex fractions: 5/8 : 2 2/3
• decimal to fraction: 0.625
• Fraction to Decimal: 1/4
• Fraction to Percent: 1/8 %
• comparing fractions: 1/4 2/3
• square root of a fraction: sqrt(1/16)
• expression with brackets: 1/3 * (1/2 - 3 3/8)
• compound fraction: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to find the quotient: 3/5÷2/3
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:
- PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
- BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
- BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
- GEMDAS: Grouping symbols (brackets: (){}), Exponents, Multiplication, Division, Addition, Subtraction.
- MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., + and -, or * and /) must be evaluated from left to right.
Fractions in word problems:
- The entity
What is the difference between seven-tenths of an entity and seven-fifteenths of the same entity? Please solve it for me.
- One-quarter 2484
Mom baked a bowl of cookies. The son took two-fifths of the cookies and the daughter one-quarter of the rest. What part was left to the parents?
- Javelin
Danilo threw his javelin over a distance of 10 5/16 meters. Mark threw his javelin over a distance of 7 7/8 meters. How much farther did one javelin travel than the other?
- Blank number
5/2 + blank =1/3 What is the blank number?
- Wednesday 67114
Emil and Erika are playing a board game. a) on Monday, they started playing at 17:36 and played for 45 minutes. What time was it when they finished? b) on Tuesday, they played from 4:47 p.m. Until half past six. How many minutes did they play? c) they pla
- A rope
From a rope of length 18 3/4 m, two smaller pieces of lengths 5 m and 7 1/2 m are cut out. Find the length of the remaining piece of rope.
- The mall
Pia spent 1 9/12 hours in her grandparents' house. This time was 8/12 of an hour more than the time she spent at the mall. How much time did she spend at the mall?
more math problems »
Last Modified: August 28, 2025