Fraction Calculator - Calculation: 6 X 1/4

Fraction Calculator Enter fraction expression: 6 x 1/4 This fraction calculator performs all fraction operations - addition, subtraction, multiplication, and division — and evaluates expressions with fractions. Each calculation includes detailed step-by-step explanations.

The result:

6 * 1/4 = 3/2 = 1 1/2 = 1.5

Spelled out: three halves (or one and a half).

How do we solve fractions step by step?

1. Multiple: 6 * 1/4 = 6 · 1/1 · 4 = 6/4 = 3 · 2/2 · 2 = 3/2 The first operand is an integer. It is equivalent to a fraction 6/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 4) = 2. In the following intermediate step, cancel by a common factor of 2 gives 3/2. In other words, six multiplied by one quarter equals three halves.

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:

• Dea makes Dea makes 18 out of 27 shots in a basketball game. Which decimal represents the fraction of shots Dea makes?
• Fraction to decimal Convert the fraction 5/4 to a decimal number (decimal fraction).
• Fraction and a decimal Write as a fraction and a decimal. One and two plus three and five hundredths
• Equations Solve the following equations without fractions: a) 5 (x-1) -7 = 17-3 (1-x) b) 3 (y-2) -4y = 2- (1 + 2y)
• Compare ratios Is ratios 4:7 and 16:19 equivalent?
• A sixth of a million Please, how much is 2/6 of 10,000,000,- USD?
• Bags of clothes Nathan and John are collecting clothes for a clothing drive. John collected 1/10 as many clothes as Nathan did. If Nathan collected 1/3 of a bag of clothes, how many bags of clothes did John collect?

more math problems »

Last Modified: February 17, 2026

• Maths calculators
• Math Practice Problems18530
• Worksheets