Fraction calculator
This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
The result:
(13 + (5 + 1/2)/12) + (16 + (4 + 3/8)/12) = 2863/96 = 29 79/96 = 0' 0/1" ≅ 29.8229167
Spelled result in words is two thousand eight hundred sixty-three ninety-sixths (or twenty-nine and seventy-nine ninety-sixths).How do we solve fractions step by step?
- Add: 5 + 1/2 = 5/1 + 1/2 = 5 · 2/1 · 2 + 1/2 = 10/2 + 1/2 = 10 + 1/2 = 11/2
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(1, 2) = 2. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 2 = 2. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - five plus one half is eleven halfs. - Divide: the result of step No. 1 : 12 = 11/2 : 12 = 11/2 · 1/12 = 11 · 1/2 · 12 = 11/24
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 12/1 is 1/12) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eleven halfs divided by twelve is eleven twenty-fourths. - Add: 13 + the result of step No. 2 = 13 + 11/24 = 13/1 + 11/24 = 13 · 24/1 · 24 + 11/24 = 312/24 + 11/24 = 312 + 11/24 = 323/24
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(1, 24) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 24 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen plus eleven twenty-fourths is three hundred twenty-three twenty-fourths. - Add: 4 + 3/8 = 4/1 + 3/8 = 4 · 8/1 · 8 + 3/8 = 32/8 + 3/8 = 32 + 3/8 = 35/8
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(1, 8) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 8 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - four plus three eighths is thirty-five eighths. - Divide: the result of step No. 4 : 12 = 35/8 : 12 = 35/8 · 1/12 = 35 · 1/8 · 12 = 35/96
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 12/1 is 1/12) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty-five eighths divided by twelve is thirty-five ninety-sixths. - Add: 16 + the result of step No. 5 = 16 + 35/96 = 16/1 + 35/96 = 16 · 96/1 · 96 + 35/96 = 1536/96 + 35/96 = 1536 + 35/96 = 1571/96
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(1, 96) = 96. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 96 = 96. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - sixteen plus thirty-five ninety-sixths is one thousand five hundred seventy-one ninety-sixths. - Add: the result of step No. 3 + the result of step No. 6 = 323/24 + 1571/96 = 323 · 4/24 · 4 + 1571/96 = 1292/96 + 1571/96 = 1292 + 1571/96 = 2863/96
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(24, 96) = 96. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 96 = 2304. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three hundred twenty-three twenty-fourths plus one thousand five hundred seventy-one ninety-sixths is two thousand eight hundred sixty-three ninety-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? - Evaluate 27
Evaluate the expression shown below and write your answer as a fraction in the simplest form. (8)/(3)+ (11)/(12) - Work out 2
Work out the sum of 2/6 and 1/6. Give your answer in its simplest form.
more math problems »