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:

9 1/6 - 5 1/3 = 23/6 = 3 5/6 ≅ 3.8333333

Spelled 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 1/6 to a improper fraction: 9 1/6 = 9 1/6 = 9 · 6 + 1/6 = 54 + 1/6 = 55/6

To find a new numerator:
a) Multiply the whole number 9 by the denominator 6. Whole number 9 equally 9 * 6/6 = 54/6
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 1/3 to a improper fraction: 5 1/3 = 5 1/3 = 5 · 3 + 1/3 = 15 + 1/3 = 16/3

To find a new numerator:
a) Multiply the whole number 5 by the denominator 3. Whole number 5 equally 5 * 3/3 = 15/3
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: 55/6 - 16/3 = 55/6 - 16 · 2/3 · 2 = 55/6 - 32/6 = 55 - 32/6 = 23/6
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.

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)