Fraction calculator
This calculator divides a fraction by an integer or a whole number. To divide a fraction by a whole number, we divide the denominator by the whole number. Then simplify the result to the lowest terms or a mixed number.
The result:
6/3/4 = 1/2 = 0.5
Spelled result in words is one half.How do we solve fractions step by step?
- Divide: 6/3 : 4 = 6/3 · 1/4 = 6 · 1/3 · 4 = 6/12 = 6 · 1 /6 · 2 = 1/2
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 6 gives 1/2.
In other words - six thirds divided by four 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.
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:
- Reduce fractions
The following fraction is reduced to its lowest terms except one. Which of these: A. 98/99 B. 73/179 C. 1/250 D. 81/729 - Extinction 5552
Of the 65 freshwater fish species in Europe, 45 are at risk of extinction. In the basic form, express which parts of the fish are in danger of extinction. - Simplify 12
Simplify {1/3 + 1/12} ÷ {2/3 - 5/8} - Children 9
There are 11 children in a room. Six of the children are girls. What fraction of the children are girls?
more math problems »