Fraction Calculator - Calculation: 3.5

Fraction calculator Enter fraction expression: 3.5 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:

3.5 = 35/10 = 7/2 = 3 1/2

The result spelled out in words is seven halves (or three and a half).

How do we solve fractions step by step?

1. Conversion a decimal number to a fraction: 3.5 = 35/10 = 7/2a) Write down the decimal 3.5 divided by 1: 3.5 = 3.5/1 b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) 3.5/1 = 35/10 Note: 35/10 is called a decimal fraction. c) Simplify and reduce the fraction 35/10 = 7 * 5/2 * 5 = 7 * 5/2 * 5 = 7/2

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:

• Out 550,000.00 Out of 550,000.00, an amount of 325,000.00 was used. What fraction of the total amount was used?
• Fraction and a decimal Write as a fraction and a decimal. One and two plus three and five hundredths
• Money fraction You have 8 euros and spend 5 euros. What fraction did you spend?
• Bella Bella collected 3/5 of a bin of glass bottles to recycle. Ian collected 9 times as many bins as Bella. How many bins of bottles did Ian collect?
• Frac answer What is the answer to 1/2 ÷ 5/7?
• Pencils You have 36 pencil crayons. How many pencil crayons make 1/2 of the total?
• One third 2 One-third of all students in class live in a house. If there are 42 students in a class, how many of them live in a house?

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Last Modified: November 19, 2025

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