What is finding common denominator? How to do it?

Finding common denominator converts fractions with different denominators to equivalent fractions with the same denominator. Method: Find least common multiple as common denominator, then convert each fraction to equivalent fraction with this denominator.

How to convert between improper fractions and mixed numbers?

Improper to mixed: Divide numerator by denominator to get whole part, remainder becomes numerator; Mixed to improper: Multiply whole number by denominator plus numerator becomes new numerator.

How to convert fractions to decimals?

Divide numerator by denominator. For example, 3/4 = 3÷4 = 0.75. Some fractions produce infinite decimals.

How to convert decimals to fractions?

Write decimal as fraction with denominator as power of 10, then simplify. For example, 0.75 = 75/100 = 3/4.

How to compare fraction sizes?

Find common denominator and compare numerators, or convert to decimals for comparison. Our calculator provides dedicated comparison function.

How do visual charts help?

Charts help intuitively understand fraction meaning: pie charts show parts of whole, bar charts show proportional relationships, grid charts show specific portions.

How to handle negative fractions?

Negative sign can be placed before numerator, denominator, or entire fraction. Follow normal fraction rules during operations, paying attention to positive/negative sign handling.

What's the precision of fraction operations?

We use precise fraction arithmetic to avoid floating-point errors. Results are automatically simplified to lowest terms.

What is finding common denominator? How to do it?

Finding common denominator converts fractions with different denominators to equivalent fractions with the same denominator. Method: Find least common multiple as common denominator, then convert each fraction to equivalent fraction with this denominator.

How to convert between improper fractions and mixed numbers?

Improper to mixed: Divide numerator by denominator to get whole part, remainder becomes numerator; Mixed to improper: Multiply whole number by denominator plus numerator becomes new numerator.

How to convert fractions to decimals?

Divide numerator by denominator. For example, 3/4 = 3÷4 = 0.75. Some fractions produce infinite decimals.

How to Divide Fractions - Fraction Calculator

Learn how to divide fractions, add, subtract, multiply and simplify fractions with step-by-step solutions and visual representations.

ArithmeticConversionStep by Step

Fraction Calculator

Calculation Mode

Operation

First Fraction

Second Fraction

Input Formats:

• Fraction: 1/2, 3/4, -2/5
• Mixed: 2 1/3, -1 2/5
• Whole: 5, -3
• Decimal: 0.75, -1.25

Usage Guide

How to Divide Fractions & Fraction Calculator Guide

The fraction calculator is a professional fraction operation tool, supporting addition, subtraction, multiplication, division, simplification, and format conversion of fractions. Provides step-by-step solutions and visual displays to help understand fraction operation processes.

Main Purpose

Main uses: fraction operations, format conversion, math learning, cooking recipe calculations, engineering drawing dimension calculations, etc.

Steps

Step 1

Select calculation mode (operations, simplification, conversion, etc.)

Step 2

Enter fractions (supports multiple formats)

Step 3

Choose operation type (addition, subtraction, multiplication, division)

Step 4

View calculation results and step-by-step solutions

Step 5

Use visual charts to understand fraction meaning

Requirements

Proper Fractions

Proper fractions: 1/2, 3/4, 5/8

Improper Fractions

Improper fractions: 7/3, 13/4, 22/7

Mixed Numbers

Mixed numbers: 2 1/3, 1 2/5

Decimals

Decimals: 0.75, 1.25

Whole Numbers

Whole numbers: 5, -3

Important Notes

Denominator Zero

Denominator cannot be zero

Simplification Precision

Simplified fraction numerator and denominator shouldn't be too large

Decimal Conversion

Limited precision when converting decimals to fractions

Use Cases

Real-World Application Scenarios

Learn how to apply the calculator through real scenarios

Example 1

Cooking Recipes

Recipe calls for 3/4 cup flour, making 1.5x portion - how much needed?

Solution:

3/4 × 1.5 = 3/4 × 3/2 = 9/8 = 1 1/8 cups

Example 2

Time Management

1 hour: 1/3 for study, 1/4 for rest, how much time remains?

Solution:

1 - 1/3 - 1/4 = 12/12 - 4/12 - 3/12 = 5/12 hour

Example 3

Shopping Calculation

Item is 3/4 off, original price $100, what's current price?

Solution:

100 × 3/4 = 300/4 = $75

Principles

Calculation Principles Explained

Understand the calculation principles and mathematical formulas

Basic Concepts

Fraction Definition

Fractions represent part of a whole, consisting of numerator (top number) and denominator (bottom number).

Fraction Types

Proper fractions (numerator < denominator), improper fractions (numerator ≥ denominator), mixed numbers (whole number + proper fraction)

Meaning & Interpretation

Numerator shows parts taken, denominator shows total parts

Formulas

Addition

Find common denominator, add numerators, keep denominator

1/3 + 1/4 = 4/12 + 3/12 = 7/12

Multiplication

Multiply numerators, multiply denominators

2/3 × 3/4 = 6/12 = 1/2

FAQ

Frequently Asked Questions

Most common questions and detailed answers