Fraction Calculators for Easy Math

Check out these handy fraction calculators! They can add, subtract, multiply, divide, simplify, and convert between fractions and decimals. The top part above the blank box N is the numerator, and the bottom part D is the denominator. Easy peasy!

Fraction Calculator

Fraction 1: /

Fraction 2: /

Result:

Step-by-Step Solution:

Calculator Use

Explore Fractions Easily

Use this tool for fractions! You can add, subtract, multiply, and divide them. The results will be simplified fractions or mixed numbers.

Simple Steps, Clear Solutions

Enter your fractions, choose the math operation, and hit Calculate. Our calculator displays the steps in the solution.

Handle Negatives with Ease

If you have negative fractions, simply add a minus sign before the numerator. For example, for -6/7, enter -6 as the numerator and 7 as the denominator.

subtract negative fractions calculator.

Tackle “Of” in Math Problems

Sometimes, math problems include the word “of,” like “What is 1/3 of 3/8?” Here, “of” means multiplication. Solve it by multiplying 1/3 by 3/8. Easy!

combine fractions calculator, keep change flip calculator

Let’s Work Through an Example: Adding Fractions

The Problem

Imagine we have the following addition equation: \( \frac{2}{6} + \frac{1}{4} \). We want to find the result step by step.

Step 1: Find the Common Denominator

Using the LCD Calculator, we discover that the least common denominator (LCD) is 12.

Step 2: Adjust the Fractions

For \( \frac{2}{6} \):

– Identify the number needed to reach the LCD from the denominator (6 to 12).
– Multiply both the numerator and denominator by 2.

Result: \( \frac{4}{12} \)

For \( \frac{1}{4} \):

– Identify the number needed to reach the LCD from the denominator (4 to 12).
– Multiply both the numerator and denominator by 3.

Result: \( \frac{3}{12} \)

Step 3: Add Numerators

Combine the adjusted numerators: \( 4 + 3 = 7 \)

Step 4: Simplify

The result, \( \frac{7}{12} \), is the sum of \( \frac{2}{6} + \frac{1}{4} \) in its simplest form.

Fraction Formula for Adding Fractions

Now, let’s use the formula \( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) to see if we get the same result:

\[ \frac{2}{6} + \frac{1}{4} = \frac{(2 \times 4) + (1 \times 3)}{6 \times 4} \]

\[ = \frac{8 + 3}{24} \]

\[ = \frac{11}{24} \]

Indeed, \( \frac{7}{12} \) and \( \frac{11}{24} \) are equivalent. You can choose the method that suits you best!

How to Add or Subtract Fractions

Find the Common Ground

To combine or take away fractions, start by finding the common base. You can easily discover this using the LCD Calculator.

Locate the Common Denominator
- Use the LCD Calculator to figure out the least common denominator for a group of fractions.
Adjust the First Fraction
- Identify the number needed to make the first fraction match the common denominator.
- Multiply both the numerator and denominator of the first fraction by this number.
Repeat for All Fractions
- Apply the same process for each fraction in the set.
Add or Subtract Numerators
- For addition, simply add the numerators.
- For subtraction, subtract the numerators.
Deal with Mixed Numbers
- Change improper fractions to mixed numbers if necessary.
Simplify the Result
- Reduce the fraction to its simplest form.

How to Multiply Fractions

Combine and Simplify

To multiply fractions, follow these straightforward steps:

Multiply Numerators
- Multiply all the numerators together.
Multiply Denominators
- Multiply all the denominators together.
Simplify the Product
- Reduce the result to its simplest form.

How to Divide Fractions

Flip and Multiply

Dividing fractions is a breeze with the “Keep, Change, Flip” method:

Reorganize the Equation
- Keep the first fraction as it is.
- Change the division sign to multiplication.
- Flip the second fraction by swapping the top and bottom numbers.
Multiply Numerators and Denominators
- Multiply all numerators together.
- Multiply all denominators together.
Simplify the Quotient
- Reduce the result to its simplest form.

Fraction Formulas

Streamlined Methods

Adding or subtracting fractions without finding the least common denominator is possible using cross multiplication. Check out these formulas:

– **Adding Fractions:**
– \( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \)

– **Subtracting Fractions:**
– \( \frac{a}{b} – \frac{c}{d} = \frac{ad – bc}{bd} \)

– **Multiplying Fractions:**
– \( \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \)

– **Dividing Fractions:**
– \( \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \)

These formulas can be a more straightforward approach than calculating the least common denominator.

Fraction Calculator