Fraction calculator
This calculator multiplies fractions. Multiplies all numerators and places the result over the product of all denominators. Then simplify the result to the lowest terms or a mixed number.
The result:
1/2 * 3/4 = 3/8 = 0.375
The result spelled out in words is three eighths.How do we solve fractions step by step?
- Multiple: 1/2 * 3/4 = 1 · 3/2 · 4 = 3/8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words, one half multiplied by three quarters equals three eighths.
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:
- Trent
Trent operates a hot dog stand. On Wednesday, he used two bags of hot dog buns. On Thursday, he used 1/5 as many hot dog buns as Wednesday. How many bags of hot dog buns Trent used on Thursday? - Nida had
Nida had 1/12 of a pizza. She gave 1/8 of it to her friend Madeeha. Find what part of the whole pizza did Madeeha get. - The product 10
The product of two numbers is 40. If one of the numbers is 8/15, what is the other number? - Raspberry 5406
Mom baked a raspberry pie on Saturday and divided it into 48 pieces. My father ate 2/48 cakes on the same day, Janka 4/48, and Jakub 7/48 cakes. What part of the cake remained on Sunday? - Minutes 82246
How many minutes are there in 5/6 hours? - Cereals
Cole and Carl share an 18-ounce box of cereal. By the end of the week, Cole has eaten 1/6 of the box, and Carl has eaten 2/3 of the box of cereal. How many ounces are left in the box? - Once simplified
Once simplified, which of the expressions below has a value between 20 and 30? Select all that apply. A) 32÷8×514 B) -18÷6×9 C) 4×12÷2 D) 12×413÷(-2)
more math problems »
Last Modified: November 19, 2025
