Fraction Calculator - Calculation: 1/2+1/3

Fraction Calculator Enter fraction expression: 1/2+1/3 This calculator adds two fractions. First, all fractions are converted to a common denominator when they have different denominators. To do this, find the Least Common Denominator (LCD) or multiply all denominators to determine a common denominator. Once all denominators are the same, add the numerators and place the result over the common denominator. Finally, simplify the result to its lowest terms or convert it to a mixed number.

The result:

1/2 + 1/3 = 5/6 ≅ 0.8333333

Spelled out: five sixths.

How do we solve fractions step by step?

1. Add: 1/2 + 1/3 = 1 · 3/2 · 3 + 1 · 2/3 · 2 = 3/6 + 2/6 = 3 + 2/6 = 5/6 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(2, 3) = 6. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.In other words, one half plus one third equals five 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)

Examples:

• adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• dividing fractions: 1/2 : 3/4• reciprocal of a fraction: 1 : 3/4• square of a fraction: 2/3 ^ 2• cube of a fraction: 2/3 ^ 3• exponentiation of a fraction: 1/2 ^ 4• fractional exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to decimal: 1/4• fraction to percent: 1/8 %• comparing fractions: 1/4 2/3• square root of a fraction: sqrt(1/16)• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• multiplying fractions: 2/3 of 3/5• divide to find the quotient: 3/5÷2/3 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.

Fractions in word problems:

• Evaluate expression Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2
• Fraction and a decimal Write as a fraction and a decimal. One and two plus three and five hundredths
• A sixth of a million Please, how much is 2/6 of 10,000,000,- USD?
• Chef Davido Italian chef Davido put 36 pieces of pineapple on his Hawaiian pizza and then divided it into sixths so that each piece had the same amount of pineapple. Luke bought one sixth of Davido's pizza and ate it with gusto. How many pieces of pineapple did Luke
• Divide with remainder Mrs. Diaz has 4 brownies left. She wants to share the brownies equally among her 5 children. Which of the following shows the amount of brownies each child can receive?
• A chocolate 2 A chocolate cake is cut into twelve equal pieces. Mr. Greedy eats five pieces at break time with his mug of tea. What fraction of the cake is left?
• Work out 2 Work out the sum of 2/6 and 1/6. Give your answer in its simplest form.

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Last Modified: February 17, 2026

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