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 1/3 + 1 3/4 = 49/ = 4 1/ ≅ 4.0833333Spelled result in words is forty-nine twelfths (or four and one twelfth).
How do we solve fractions step by step?
- Conversion a mixed number 2 1/ to a improper fraction: 2 1/3 = 2 1/ = 2 · 3 + 1/ = 6 + 1/ = 7/
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/ = 6/
b) Add the answer from the previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds.
- Conversion a mixed number 1 3/ to a improper fraction: 1 3/4 = 1 3/ = 1 · 4 + 3/ = 4 + 3/ = 7/
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/ = 4/
b) Add the answer from the previous step 4 to the numerator 3. New numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4.
One and three quarters is seven quarters.
- Add: 7/ + 7/ = 7 · 4/ + 7 · 3/ = 28/ + 21/ = 28 + 21/ = 49/
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(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seven thirds plus seven quarters is forty-nine twelfths.
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:
- 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?
- In one day
In one day, a baker used 2/3 of a pound of flour, 3/4 of a pound of flour, and 5/12 of a pound of flour. How much flour was used that day?
- Adding two fractions
Find the missing fraction: 2/5 + 7/10 =
- There 22
There is 5/8 of a pizza in one box and 9/12 of a pizza in another box. How much do you have altogether?
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