Fraction calculator

This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.

The result:

14 5/10 - 12 9/10 = 8/5 = 1 3/5 = 1.6

The result spelled out in words is eight fifths (or one and three fifths).

How do we solve fractions step by step?

Conversion a mixed number 14 5/10 to a improper fraction: 14 5/10 = 14 5/10 = 14 · 10 + 5/10 = 140 + 5/10 = 145/10

To find a new numerator:
a) Multiply the whole number 14 by the denominator 10. Whole number 14 equally 14 * 10/10 = 140/10
b) Add the answer from the previous step 140 to the numerator 5. New numerator is 140 + 5 = 145
c) Write a previous answer (new numerator 145) over the denominator 10.

Fourteen and five tenths is one hundred forty-five tenths.
Conversion a mixed number 12 9/10 to a improper fraction: 12 9/10 = 12 9/10 = 12 · 10 + 9/10 = 120 + 9/10 = 129/10

To find a new numerator:
a) Multiply the whole number 12 by the denominator 10. Whole number 12 equally 12 * 10/10 = 120/10
b) Add the answer from the previous step 120 to the numerator 9. New numerator is 120 + 9 = 129
c) Write a previous answer (new numerator 129) over the denominator 10.

Twelve and nine tenths is one hundred twenty-nine tenths.
Subtract: 145/10 - 129/10 = 145 - 129/10 = 16/10 = 2 · 8/2 · 5 = 8/5
Both fractions have the same denominator, which is then the common denominator in the subtracting them. In the following intermediate step, cancel by a common factor of 2 gives 8/5.
In other words, one hundred forty-five tenths minus one hundred twenty-nine tenths equals eight fifths.

Rules for expressions with fractions:

Fractions - write a forward slash to separate the numerator and 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 whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2.
A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal dot . 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)

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
GEMDAS: Grouping symbols (brackets: `(){}`), Exponents, Multiplication, Division, Addition, Subtraction.
MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.

Important Notes:
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., `+` and `-`, or `*` and `/`) must be evaluated from left to right.