Fraction calculator
This calculator multiplies a fraction by integer or whole number. To multiple fraction by a whole number, we multiple the numerator by the whole number. Then simplify the result to the lowest terms or a mixed number.
The result:
3/8 * 100 = 75/2 = 37 1/2 = 37.5
Spelled result in words is seventy-five halfs (or thirty-seven and one half).How do we solve fractions step by step?
- Multiple: 3/8 * 100 = 3 · 100/8 · 1 = 300/8 = 75 · 4/2 · 4 = 75/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(300, 8) = 4. In the following intermediate step, cancel by a common factor of 4 gives 75/2.
In other words - three eighths multiplied by one hundred is seventy-five halfs.
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
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:
- Samantha
Samantha took 72 pictures on her beach vacation. 3/4 of those pictures are on the beach. How many pictures from her vacation are on the beach?
- Someone
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?
- Doughnuts
2/3 of the doughnuts in a box have frosting. 1/2 of the doughnuts with frosting have sprinkles. What fraction of the doughnuts in the box have frosting and sprinkles?
- There 12
There are 42 students in the class, and 2/3 of them are girls. How many girls are there in the class?
- A total 2
A total of 42 candies if divided among boys and girls. If boys receive 3/7, then how much will girls receive?
more math problems »