Calculator fractions multiple
This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.
2/3 * 3/5 = 2/5 = 0.4
The result spelled out in words is two fifths.How do we solve fractions step by step?
- Multiple: 2/3 * 3/5 = 2 · 3/3 · 5 = 6/15 = 2 · 3/5 · 3 = 2/5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 15) = 3. In the following intermediate step, cancel by a common factor of 3 gives 2/5.
In other words, two thirds multiplied by three fifths equals two fifths.
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) |
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:
- A sixth of a million
Please, how much is 2/6 of 10,000,000,- USD? - Bags of clothes
Nathan and John are collecting clothes for a clothing drive. John collected 1/10 as many clothes as Nathan did. If Nathan collected 1/3 of a bag of clothes, how many bags of clothes did John collect? - Food - rice
A man spent 1/3 of his salary on food. 1/4 of what he spent on food was on rice. What fraction of his salary did he spend on rice? - Jennifer
Jennifer has 10 pets. Two-fifths of the pets are cats, one-half are fish, and one-tenth are dogs. How many of each pet does she have?
- Beth wants
Beth wants to give 1/4 pizza to each of her 6 friends. Which choice does not show the number of pizzas Beth needs? - Pencils
You have 36 pencil crayons. How many pencil crayons make 1/2 of the total? - Learnes
There are 800 learners in a school 7/8 of the learners walk to school. How many learners walk in school?
more math problems »
Last Modified: May 12, 2025
