Fraction calculator
This fractions calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.
The result:
2 1/6 - 1 2/7 = 37/42 ≅ 0.8809524
The spelled result in words is thirty-seven forty-seconds.How do we solve fractions step by step?
- Conversion a mixed number 2 1/6 to a improper fraction: 2 1/6 = 2 1/6 = 2 · 6 + 1/6 = 12 + 1/6 = 13/6
To find a new numerator:
a) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6
b) Add the answer from the previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 6.
Two and one sixth is thirteen sixths. - Conversion a mixed number 1 2/7 to a improper fraction: 1 2/7 = 1 2/7 = 1 · 7 + 2/7 = 7 + 2/7 = 9/7
To find a new numerator:
a) Multiply the whole number 1 by the denominator 7. Whole number 1 equally 1 * 7/7 = 7/7
b) Add the answer from the previous step 7 to the numerator 2. New numerator is 7 + 2 = 9
c) Write a previous answer (new numerator 9) over the denominator 7.
One and two sevenths is nine sevenths. - Subtract: 13/6 - 9/7 = 13 · 7/6 · 7 - 9 · 6/7 · 6 = 91/42 - 54/42 = 91 - 54/42 = 37/42
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, 7) = 42. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 7 = 42. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen sixths minus nine sevenths is thirty-seven forty-seconds.
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
| 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) |
See practise with fractions »
Last Modified: December 30, 2024
