Fraction Calculator

This fraction calculator performs all basic fraction operations – addition, subtraction, multiplication, and division – and evaluates expressions with fractions. Each calculation includes a detailed step-by-step explanation.

The result:

0 = 0/1 = 2863/96 = 29 79/96 ≅ 29.8229167

Spelled out: 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 = 5/1 + 1/2 = 5 · 2/1 · 2 + 1/2 = 10/2 + 1/2 = 10 + 1/2 = 11/2
The first operand is an integer. It is equivalent to a fraction 5/1. It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 2) = 2. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 2 = 2. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, five plus one half equals eleven halves.
Divide: the result of step No. 1 : 12 = 11/2 : 12 = 11/2 · 1/12 = 11 · 1/2 · 12 = 11/24
The second operand is an integer. It is equivalent to the fraction 12/1. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 12/1 is 1/12) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, eleven halves divided by twelve equals eleven twenty-fourths.
Add: 13 + the result of step No. 2 = 13 + 11/24 = 13/1 + 11/24 = 13 · 24/1 · 24 + 11/24 = 312/24 + 11/24 = 312 + 11/24 = 323/24
The first operand is an integer. It is equivalent to a fraction 13/1. It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 24) = 24. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 24 = 24. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, thirteen plus eleven twenty-fourths equals three hundred twenty-three twenty-fourths.
Add: 4 + 3/8 = 4/1 + 3/8 = 4 · 8/1 · 8 + 3/8 = 32/8 + 3/8 = 32 + 3/8 = 35/8
The first operand is an integer. It is equivalent to a fraction 4/1. It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 8) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 8 = 8. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, four plus three eighths equals thirty-five eighths.
Divide: the result of step No. 4 : 12 = 35/8 : 12 = 35/8 · 1/12 = 35 · 1/8 · 12 = 35/96
The second operand is an integer. It is equivalent to the fraction 12/1. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 12/1 is 1/12) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, thirty-five eighths divided by twelve equals thirty-five ninety-sixths.
Add: 16 + the result of step No. 5 = 16 + 35/96 = 16/1 + 35/96 = 16 · 96/1 · 96 + 35/96 = 1536/96 + 35/96 = 1536 + 35/96 = 1571/96
The first operand is an integer. It is equivalent to a fraction 16/1. It is suitable to adjust both fractions to a common (equal) denominator for adding fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 96) = 96. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 96 = 96. In the following intermediate step, the fraction cannot be simplified further by cancelling.
In other words, sixteen plus thirty-five ninety-sixths equals one thousand five hundred seventy-one ninety-sixths.
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) denominator for adding 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, the fraction cannot be simplified further by cancelling.
In other words, three hundred twenty-three twenty-fourths plus one thousand five hundred seventy-one ninety-sixths equals two thousand eight hundred sixty-three ninety-sixths.

Rules for expressions with fractions:

Fractions - Use a forward slash to separate the numerator and denominator. For example, for five-hundredths, enter 5/100.

Mixed numbers Leave one space between the whole number and the fraction part, and use a forward slash for the fraction. For example, enter 1 2/3 . For negative mixed numbers, write the negative sign before the whole number, such as -5 1/2.

Division of fractions - Since the forward slash is used for both fraction lines and division, use a colon (:) to divide fractions. For example, to divide 1/2 by 1/3, enter 1/2 : 1/3.

Decimals Enter decimal numbers using a decimal point (.), and they will be automatically converted to fractions. For example, enter 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)

Order of Operations

Ever wondered why calculators don't just work left to right? This calculator follows the mathematical order of operations — a set of rules that ensures everyone solves expressions the same way, every time.

Popular Memory Tricks

Different regions use different mnemonics to remember this order:

* 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 (parentheses, brackets, braces: (){}), Exponents, Multiplication, Division, Addition, Subtraction

The Golden Rules

Rule 1: Multiplication and division always come before addition and subtraction. Think of them as the VIPs that skip to the front of the line!

Rule 2: When operations have equal priority (like × and ÷, or + and −), work from left to right—just like reading a book.

Rule 3: Parentheses change the natural order of evaluation of operations.