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:
5/6 - 1/6 = 2/3 ≅ 0.6666667
Spelled result in words is two thirds.How do we solve fractions step by step?
- Subtract: 5/6 - 1/6 = 5 - 1/6 = 4/6 = 2 · 2/2 · 3 = 2/3
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36. In the following intermediate step, cancel by a common factor of 2 gives 2/3.
In other words - five sixths minus one sixth is two thirds.
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.
Math Symbols
| Op | 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:
- Brown or black
Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max's socks are either brown or black? - Fraction to decimal
Write the fraction 3/22 as a decimal. - Fruit basket
If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket? - A class IV.A
In a class, there are 15 girls and 30 boys. What fraction of the class represents the boys?
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.more math problems »