Technical Calculator

Fraction Calculator

Enter the values and let this calculator will solve your fraction problem.

Fraction Calculator

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Mixed Numbers



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Fractions Simplifier


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Fraction Calculator: Add, Subtract, Multiply, and Divide Fractions

This fraction calculator makes your work easier. It helps you add, subtract, multiply, and divide fractions. The tool shows long division steps when needed. It also simplifies fractions to their lowest terms or presents them as mixed numbers.

It works with both proper and improper fractions. It converts fractions to decimals. It also handles negative fractions and finds the least common denominator. This calculator helps users to do fraction subtraction, addition, multiplication, and division.

How to Use the Fraction Calculator

  1. Input the numerators and denominators: Enter values. You can work with improper fractions, proper fractions, or mixed numbers.
  2. Hit the "Calculate" button for fraction addition, subtraction, multiplication or division.

By following these steps, the calculator ensures you get the correct answer. It eliminates the need for manual calculations like long divisions or complex cross-multiplication.

Simplifying Improper Fractions

The calculator simplifies improper fractions, turning them into mixed numbers if necessary. Here’s how it simplifies:

  1. Divide the numerator by the denominator.
  2. Convert to a mixed number if needed.
  3. Simplify the result to its lowest terms.

Example:

\(\frac{7}{3} = 2 \frac{1}{3}\)

Dividing Fractions and Multiplying Fractions

To divide fractions, use the reciprocal method. This means keep, change, and flip. Then, multiply. This calculator handles the steps for you.

Example:

\(\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}\)

For multiplying fractions, multiply the numerators and the denominators, and simplify if possible.

Adding and Subtracting Fractions

The fraction calculator helps you add or subtract fractions. It finds the least common denominator (LCD) and shows each step of the operation.

Example:

\(\frac{1}{4} + \frac{2}{3} = \frac{3}{12} + \frac{8}{12} = \frac{11}{12}\)

In the case of fraction subtraction:

\(\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{5 - 2}{6} = \frac{3}{6} = \frac{1}{2}\)

Fractions with Negative Numbers

Handling negative fractions is no different. You can enter negative values and the fraction calculator works out the results. It shows them in improper fractions or simplified forms.

Handling Powers of 10 in Fractions

When working with decimals, understanding the powers of 10 is important. This concept simplifies converting fractions to decimals. It also helps convert decimals back to fractions.

For example, to convert the decimal 0.75 to a fraction:

  • Write the decimal as a fraction: 0.75 = \(\frac{75}{100}\)
  • Simplify the fraction: Dividing the numerator and the denominator by their greatest common factor. In this case, the greatest common factor is 25.
  • So, you have:
  • \(\frac{75 \div 25}{100 \div 25} = \frac{3}{4}\)

This shows how understanding powers of 10 can simplify the conversion process.

FAQs

How to calculate fractions?

Use the calculator to add, subtract, multiply, or divide fractions. It finds the least common denominator and simplifies the results for you.

What is \(\frac{1}{2}\) as a fraction?

\(\frac{1}{2}\) is a proper fraction and equals 0.5 as a decimal.

How to subtract fractions?

To subtract fractions, find the least common denominator (LCD). This aligns with the denominators. Then, subtract the numerators.

What is 0.5 as a fraction?

0.5 equals \(\frac{1}{2}\) as a fraction.

How do I convert to a fraction?

Use the fraction-to-decimal calculator to convert decimals like 0.75 to fractions like \(\frac{3}{4}\).

How to solve fraction problems?

Enter your fractions and choose the operation (add, subtract, multiply, divide). The calculator will guide you step by step to the correct answer.

How to simplify a fraction?

Simplify fractions by dividing the numerator and the denominator. Use the greatest common factor (GCF) for this.

What is \(\frac{1}{4}\) multiplied by \(\frac{1}{4}\) equal?

\(\frac{1}{4}\) multiplied by \(\frac{1}{4}\) equals \(\frac{1}{16}\).

How to divide a fraction?

To divide fractions, multiply by the reciprocal of the second fraction. Use the keep, change, flip rule.

How to root a fraction?

Apply the root to both the numerator and the denominator.

Limitations:

  • Fractions with very large numerators or denominators might be difficult to add, so the calculator does not support such bigger inputs
  • The calculator does not function if any input field is left blank
  • Entering ‘0’ in the denominator will make your fractions infinite, thus making the tool unable to calculate results

References

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