Fraction Calculator - Calculation: 2/3 X 15

Fraction calculator Enter fraction expression: 2/3 x 15 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:

2/3 * 15 = 10/1 = 10

The result spelled out in words is ten.

How do we solve fractions step by step?

1. Multiple: 2/3 * 15 = 2 · 15/3 · 1 = 30/3 = 10 · 3/1 · 3 = 10 The second operand is an integer. It is equivalent to the fraction 15/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(30, 3) = 3. In the following intermediate step, cancel by a common factor of 3 gives 10/1. In other words, two thirds multiplied by fifteen equals ten.

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)

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• fractions multiple: 2/3 of 3/5• divide to find the quotient: 3/5÷2/3 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.

Fractions in word problems:

• Puzzle game In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets to solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest form.
• Reduce fractions The following fraction is reduced to its lowest terms except one. Which of these: A. 98/99 B. 73/179 C. 1/250 D. 81/729
• Simplify 12 Simplify {1/3 + 1/12} ÷ {2/3 - 5/8}
• Extinction 5552 Of the 65 freshwater fish species in Europe, 45 are at risk of extinction. In the basic form, express which parts of the fish are in danger of extinction.
• Recipical fraction 5/9 divided by 8/5 recipical
• A sixth of a million Please, how much is 2/6 of 10,000,000,- USD?
• Red bouquet A third of the flowers in the bouquet are red, six are yellow. How many flowers are there in the bouquet? And how many are red?

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Last Modified: November 19, 2025

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