Fraction calculator

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

The result:

(13 + (5 + 1/2)/12) + (16 + (4 + 3/8)/12) = 2863/96 = 29 79/96 = 29' 3085908/312497" 29.8229167

The spelled result in words is two thousand eight hundred sixty-three ninety-sixths (or twenty-nine and seventy-nine ninety-sixths).

How do we solve fractions step by step?

Add: 5 + 1/2 = 5.5 = 11/2
Divide: the result of step No. 1 : 12 = 11/2 : 12 = 0.45833333333333 = 11/24
Add: 13 + the result of step No. 2 = 13 + 11/24 = 13.458333333333 = 323/24
Add: 4 + 3/8 = 4.375 = 35/8
Divide: the result of step No. 4 : 12 = 35/8 : 12 = 0.36458333333333 = 35/96
Add: 16 + the result of step No. 5 = 16 + 35/96 = 16.364583333333 = 1571/96
Add: the result of step No. 3 + the result of step No. 6 = 323/24 + 1571/96 = 323 · 4/24 · 4 + 1571/96 = 1292/96 + 1571/96 = 1292 + 1571/96 = 2863/96
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(24, 96) = 96. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 24 × 96 = 2304. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - three hundred twenty-three twenty-fourths plus one thousand five hundred seventy-one ninety-sixths is two thousand eight hundred sixty-three ninety-sixths.

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 of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left to right.