Fraction Calculator - Calculation: 2 1/2 X 4

Fraction calculator Enter fraction expression: 2 1/2 x 4 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 1/2 * 4 = 10/1 = 10

The result spelled out in words is ten.

How do we solve fractions step by step?

1. Conversion a mixed number 2 1/2 to a improper fraction: 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2To find a new numerator: a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/2 = 4/2 b) Add the answer from the previous step 4 to the numerator 1. New numerator is 4 + 1 = 5 c) Write a previous answer (new numerator 5) over the denominator 2.Two and a half is five halves.
2. Multiple: 5/2 * 4 = 5 · 4/2 · 1 = 20/2 = 10 · 2/1 · 2 = 10 The second operand is an integer. It is equivalent to the fraction 4/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(20, 2) = 2. In the following intermediate step, cancel by a common factor of 2 gives 10/1. In other words, five halves multiplied by four 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:

• Identify improper fraction How do you identify improper fractions? Which is improper: A) 3/4 B) 32/15 C) 3/9 D) 2 2/11
• Fraction multiplication Solve six times three-sixths equals blank. Leave your answer as an improper fraction. thirty-six thirds eighteen-sixths eighteen-sixteenths three thirty-sixths
• The cost 7 The cost of a pen is Rs. 20/3, and that of a pencil is 25/6. Which costs more and by how much?
• If you 4 If you take away 1 ¾ from 3 1/3, the answer is 2 2/3. Is this correct?
• Students 34 Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 -
• Giraffes to monkeys The ratio of the number of giraffes to the number of monkeys in a zoo is 2 to 5. Which statement about the giraffes and monkeys could be true? A. For every 10 monkeys in the zoo, there are 4 giraffes. B. For every giraffe in the zoo, there are three monke
• Marcellus Marcellus has two bottles of ketchup that are the same size. One bottle is 1/5 full, and the other bottle is 1/2 full. Can all the ketchup fit into one bottle without the ketchup overflowing?

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Last Modified: November 19, 2025

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