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.
2 1/2 - 1 2/5 = 11/ = 1 1/ = 1.1Spelled result in words is eleven tenths (or one and one tenth).
How do we solve fractions step by step?
- Conversion a mixed number 2 1/ to a improper fraction: 2 1/2 = 2 1/ = 2 · 2 + 1/ = 4 + 1/ = 5/
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/ = 4/
b) Add the answer from the previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs.
- Conversion a mixed number 1 2/ to a improper fraction: 1 2/5 = 1 2/ = 1 · 5 + 2/ = 5 + 2/ = 7/
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ = 5/
b) Add the answer from the previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write a previous answer (new numerator 7) over the denominator 5.
One and two fifths is seven fifths.
- Subtract: 5/ - 7/ = 5 · 5/ - 7 · 2/ = 25/ - 14/ = 25 - 14/ = 11/
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(2, 5) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - five halfs minus seven fifths is eleven tenths.
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?
- The recipe
The recipe they are following requires 7/8 cups of milk. Tom already put 3/8 cups of milk. How much milk should Lea add to follow the recipe?
- Mr. Vandar
Mr. Vandar washed 1/4 of his laundry. His son washed 2/7 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Sundar has 50 chocolates. He gave 2/5 of these chocolates to Ram and ate 1/5 of them. How many chocolates are left with Sundar?
more math problems »