Fraction calculator
This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.
The result:
1.7 * 70 = 119/1 = 119
The result spelled out in words is one hundred nineteen.How do we solve fractions step by step?
- Conversion a decimal number to a fraction: 1.7 = 17/10 = 17/10
a) Write down the decimal 1.7 divided by 1: 1.7 = 1.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
1.7/1 = 17/10
Note: 17/10 is called a decimal fraction.
c) Simplify and reduce the fraction
17/10 = 17 * 1/10 * 1 = 17* 1/10* 1 - Multiple: 1.7 * 70 = 17 · 70/10 · 1 = 1190/10 = 119 · 10/1 · 10 = 119
The second operand is an integer. It is equivalent to the fraction 70/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(1190, 10) = 10. In the following intermediate step, cancel by a common factor of 10 gives 119/1.
In other words, seventeen tenths multiplied by seventy equals one hundred nineteen.
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:
- 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?
- Learnes
There are 800 learners in a school 7/8 of the learners walk to school. How many learners walk in school?
- Pictures cards
Tom had 25 picture cards. He gave 2/5 of them to his friends. How many cards did Tom give to his friends?
- Alice 4
Alice needs 3⅕ cups of milk for her to put into the recipe. How many cups are needed for 2½ of the recipe?
- Kilograms 82376
How many kilograms are 4/5 of 100kg?
- Mary needs
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order?
more math problems »
Last Modified: June 23, 2025