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.
9 1/6 - 5 1/3 = 23/ = 3 5/ ≅ 3.8333333Spelled result in words is twenty-three sixths (or three and five sixths).
How do we solve fractions step by step?
- Conversion a mixed number 9 1/ to a improper fraction: 9 1/6 = 9 1/ = 9 · 6 + 1/ = 54 + 1/ = 55/
To find a new numerator:
a) Multiply the whole number 9 by the denominator 6. Whole number 9 equally 9 * 6/ = 54/
b) Add the answer from the previous step 54 to the numerator 1. New numerator is 54 + 1 = 55
c) Write a previous answer (new numerator 55) over the denominator 6.
Nine and one sixth is fifty-five sixths.
- Conversion a mixed number 5 1/ to a improper fraction: 5 1/3 = 5 1/ = 5 · 3 + 1/ = 15 + 1/ = 16/
To find a new numerator:
a) Multiply the whole number 5 by the denominator 3. Whole number 5 equally 5 * 3/ = 15/
b) Add the answer from the previous step 15 to the numerator 1. New numerator is 15 + 1 = 16
c) Write a previous answer (new numerator 16) over the denominator 3.
Five and one third is sixteen thirds.
- Subtract: 55/ - 16/ = 55/ - 16 · 2/ = 55/ - 32/ = 55 - 32/ = 23/
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, 3) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 3 = 18. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - fifty-five sixths minus sixteen thirds is twenty-three 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.
|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:
- Peter's calculation
Peter wrote the following: 7 1/4 - 3 3/4 = 4 2/4 = 4 1/2 . Is Peter's calculation correct? Using words (math vocabulary) and numbers to explain why he is correct or incorrect.
- 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?
- Before 4
Before a journey, the petrol gauge showed my car's tank was half full. When I returned home, it was one-third full. What fraction of a tank of petrol had I used?
- Fraction expression
Which expression is equivalent to : Minus 9 minus left parenthesis minus 4 start fraction 1 divided by 3 end fraction right parenthesis
- A housewife
A housewife spent 3/7 of her money in the market and 1/2 of the remainder in the shop. What fraction of her money is left?
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