Fraction calculator
This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators. Find Least Common Denominator (LCD) or multiply all denominators to find a common denominator. When all denominators are the same, subtract the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.
The result:
1/12 + 3/4 = 5/6 ≅ 0.8333333
Spelled result in words is five sixths.How do we solve fractions step by step?
- Add: 1/12 + 3/4 = 1/12 + 3 · 3/4 · 3 = 1/12 + 9/12 = 1 + 9/12 = 10/12 = 2 · 5/2 · 6 = 5/6
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(12, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 4 = 48. In the following intermediate step, cancel by a common factor of 2 gives 5/6.
In other words - one twelfth plus three quarters is five sixths.
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:
- My whole
My whole number is 88 if you add 5 thousandths, 8 tenths, and 7 thousandths. What number will I be? - A man 9
A man earns $2400 in his monthly salary. He spends 3/5 of his salary on food and rent. This month he decided to buy his family presents. What fraction of his money does he spend on presents? - Adding denominators
Max is working out 2/3+7/9. He says the answer is 9/12. What mistake has Max made? - Work out 2
Work out the sum of 2/6 and 1/6. Give your answer in its simplest form. - Mary read
Mary read 2/9 books in the morning and 5/9 in the evening. What fraction of books has she read?
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