This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
2 * 1/4 = 1/ = 0.5Spelled result in words is one half.
How do we solve fractions step by step?
- Multiple: 2 * 1/ = 2 · 1/ = 2/ = 1 · 2/ = 1/
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 4) = 2. In the following intermediate step, cancel by a common factor of 2 gives 1/.
In other words - two multiplied by one quarter is one half.
Rules for expressions with fractions:Fractions - use a forward slash to divide the numerator by 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 integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
|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)|
Fractions in word problems:
- A farm 6
A farm has 20 animals. There are four chickens. What fraction of the animals are chickens? Express your answer as a fraction in the simplest form.
- A company
A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.
- In fractions
An ant climbs 2/5 of the pole in the first hour and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in two hours?
Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten?
- Evaluate expression
Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2
more math problems »