Fraction Calculator - online Fraction Calculator

Fractions Calculator

Fraction 1 Numerator:

Fraction 1 Denominator:

Operation: + - * /

Fraction 2 Numerator:

Fraction 2 Denominator:

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What is a Fraction?

A fraction represents a part of a whole. It is expressed in the form a/b, where:

• a (numerator) is the number of parts we have.
• b (denominator) is the total number of equal parts.
  Example: 3/4 means 3 parts out of 4 equal parts.

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What is a Fraction Calculator?

A Fraction Calculator is a tool that helps perform operations involving fractions, such as addition, subtraction, multiplication, division, simplification, and conversion of fractions into decimals or mixed numbers.

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How to Use a Fraction Calculator (Step-by-Step):

1. Enter the numerator and denominator for the first fraction.
2. Enter the numerator and denominator for the second fraction (if needed).
3. Select the operation (add, subtract, multiply, divide, simplify, or convert).
4. Click "Calculate" or "Solve."
5. View the result in simplified or proper form.

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Uses and Benefits of Fraction Calculator:

• Uses:

  • Useful for students, teachers, and professionals working with fractions.
  • Helps in solving complex fraction problems in school, business, or daily life.

• Benefits:

• Saves time and reduces errors.
• Simplifies complex fraction calculations.
• Improves understanding of fraction operations.
• Converts fractions into decimals or mixed numbers quickly.

Problem for Example 

$$\frac{3}{4} + \frac{5}{6} \times \frac{2}{3} - \frac{7}{8} \div \frac{1}{2}$$

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Step-by-Step Solution:

Step 1: Follow BODMAS/BIDMAS Rule (Order of Operations)

1. Brackets
2. Orders (Powers/Exponents)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)

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Step 2: Perform Multiplication

$$\frac{5}{6} \times \frac{2}{3} = \frac{5 \times 2}{6 \times 3} = \frac{10}{18}$$

Simplify 10/18:

$$\frac{10}{18} = \frac{5}{9}$$

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Step 3: Perform Division

$$\frac{7}{8} \div \frac{1}{2} = \frac{7}{8} \times \frac{2}{1} = \frac{7 \times 2}{8 \times 1} = \frac{14}{8}$$

Simplify 14/8:

$$\frac{14}{8} = \frac{7}{4}$$

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Step 4: Substitute the Results into the Original Expression

$$\frac{3}{4} + \frac{5}{9} - \frac{7}{4}$$

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Step 5: Find the LCM of the Denominators (4, 9, 4)

The LCM of 4 and 9 is 36.

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Step 6: Convert Each Fraction to Have Denominator 36

$$\frac{3}{4} = \frac{3 \times 9}{4 \times 9} = \frac{27}{36}$$ $$\frac{5}{9} = \frac{5 \times 4}{9 \times 4} = \frac{20}{36}$$ $$\frac{7}{4} = \frac{7 \times 9}{4 \times 9} = \frac{63}{36}$$

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Step 7: Perform the Addition and Subtraction

$$\frac{27}{36} + \frac{20}{36} - \frac{63}{36} = \frac{27 + 20 - 63}{36} = \frac{-16}{36}$$

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Step 8: Simplify the Fraction

$$\frac{-16}{36} = \frac{-4}{9}$$

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Final Answer:

$$\mathbf{-\frac{4}{9}}$$

This is a long and detailed fraction calculation involving addition, multiplication, division, and simplification.