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.
3 1/5 - 2 1/4 = 19/ = 0.95Spelled result in words is nineteen twentieths.
How do we solve fractions step by step?
- Conversion a mixed number 3 1/ to a improper fraction: 3 1/5 = 3 1/ = 3 · 5 + 1/ = 15 + 1/ = 16/
To find a new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/ = 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 5.
Three and one fifth is sixteen fifths.
- Conversion a mixed number 2 1/ to a improper fraction: 2 1/4 = 2 1/ = 2 · 4 + 1/ = 8 + 1/ = 9/
To find a new numerator:
a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/ = 8/
b) Add the answer from the previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 4.
Two and one quarter is nine quarters.
- Subtract: 16/ - 9/ = 16 · 4/ - 9 · 5/ = 64/ - 45/ = 64 - 45/ = 19/
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(5, 4) = 20. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - sixteen fifths minus nine quarters is nineteen twentieths.
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:
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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?
- 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.
- Evaluate - lowest terms
Evaluate: 16/25 - 11/25 (Express answer as a fraction reduced to lowest terms. )
- Paul ate
Paul ate 2/8 of a cake and his brother 3/8. What fraction of the cake is left for the parents?
- A chocolate 2
A chocolate cake is cut into twelve equal pieces. Mr. Greedy eats five pieces at break time with his mug of tea. What fraction of the cake is left?
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