Fraction Calculator

Fraction Calculator This fraction calculator performs all basic fraction operations – addition, subtraction, multiplication, and division – and evaluates expressions with fractions. Each calculation includes a detailed step-by-step explanation. 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 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: - Puzzle game In a letter puzzle game, John can use each letter of the alphabet only once. He used only 8 letters to solve the puzzle. What fraction of the 26 letters in the alphabet did he use? Express your answer as a fraction in simplest form.

In fractions An ant climbs 2/5 of the pole in the first hour and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in two hours? - Vegetarian menu At a restaurant, 2/3 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/10 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes? - Test questions Irena solves the test.

She solved three-quarters of all questions during the first reading and another sixth during the review. In total, she solved 22 questions. How many questions does the whole test consist of? - The cat The cat starts with 4/6 of a cup in his bowl. It eats 1/4 of a cup of food. How much food is left? - Peter multiplies Peter try to calculate: 3/4 x 2/3 He did 3x3 to get 9 and 4 x 2 to get 8. The final answer is 8/9.

Can you explain the error and how to help? What is the correct answer? - A less than B What is 3/5 less than 11/12? (Answer should be in proper or improper only: Example 1/2, -1/2, 3/2, and -3/2) more math problems » Last Modified: April 7, 2026

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