Fraction Calculator Would you like to add the tool to your own website?

Add Your Site

The Fraction Calculator tool is used to quickly and accurately perform calculations with fractions, making mathematical operations easier and more efficient.

What does Fraction Calculator do?

The “Fraction Calculator” is a tool that simplifies calculations involving fractions and helps to obtain accurate results.

Fraction Calculator Formula?

The calculation of operations with fractions relies on specific formulas. These formulas are based on addition, subtraction, multiplication, and division of fractions.

Addition Formula:

For fractions with the same denominator, the numerators are added.
- (a/b) + (c/b) = (a + c) / b
For fractions with different denominators, a common denominator is found, and the numerators are added.
- (a/b) + (c/d) = ((a * d) + (b * c)) / (b * d)

Subtraction Formula:

For fractions with the same denominator, the numerators are subtracted.
- (a/b) – (c/b) = (a – c) / b
For fractions with different denominators, a common denominator is found, and the numerators are subtracted.
- (a/b) – (c/d) = ((a * d) – (b * c)) / (b * d)

Multiplication Formula:

For multiplying fractions, the numerators are multiplied together, and the denominators are multiplied together.
- (a/b) * (c/d) = (a * c) / (b * d)

Division Formula:

For dividing fractions, the first fraction is multiplied by the reciprocal (the numerator and denominator switched) of the second fraction.
- (a/b) ÷ (c/d) = (a * d) / (b * c)

Fraction Calculator Examples?

Below are two examples of fraction calculations to make the process clearer.

Example 1 (Addition):

Fractions: (2/5) and (3/5)
Addition operation:
- Using the addition formula for fractions with the same denominator.
- (2/5) + (3/5) = (2 + 3) / 5
- Result: (5/5) = 1

Result: The sum of these fractions is 1.

Example 2 (Subtraction):

Fractions: (7/8) and (3/8)
Subtraction operation:
- Using the subtraction formula for fractions with the same denominator.
- (7/8) – (3/8) = (7 – 3) / 8
- Result: (4/8) = 1/2

Result: The difference of these fractions is 1/2.

By using the Fraction Calculator, you can easily and accurately perform calculations with fractions.

Note: The Included in the Maths category, Fraction Calculator tool was checked by Calculator Robot. Some important additions made the calculations more comprehensive. If you're looking for a new calculation solution, Central Angle Calculator tool offers a different approach. Check it out now.

Post Views: 4,531