Fraction Calculator

Use this fraction calculator to add, subtract, multiply, divide fraction values. It can turn two or three fractions into lowest decimal & mixed number fractions.

Just make a couple of clicks and get step by step calculations involved in fraction simplification along with visual representation.

Maths on Fractions:

Addition and Subtraction:

In case of fraction addition and subtraction, you must keep in mind that if your fractions have like or unlike denominators.

• First of all, find LCD for all the fractions
• Now divide the denominator of the first fraction by the LCD. After this, multiply the resulting quotient with the numerator of first fraction and write it over LCD
• Do exactly the same for all other fractions in the combination
• For addition, add all the numerators and divide the number by LCD
• For subtraction, subtract all the numerators and divide the number by LCD

Multiplication:

• Multiply all the numerators
• Likewise, multiply all the denominators
• At last, go for simplifying the result to the most reduced form

Division:

When it comes to the division of fractions, fraction solver follows the rule as under:

• Keep: you have to keep the first fraction as it is
• Change: now go for inverting the division sign to the multiplication sign
• Flip: after that, flip the next fractions by replacing numerator and denominator positions

How to Do Fractions?

Our fraction calculator uses various formulas to reduce fractions instead of dealing with LCD. This is because rules make fraction maths easy and less time consuming.

\(\text{Add} \dfrac{1}{2}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{5}\)

Formula:

\(\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}\)

\(= \dfrac{1}{2}+\dfrac{2}{5}\)

\(=\dfrac{5+4}{10}\)

\(=\dfrac{9}{10}\)

\(\text{Subtract} \dfrac{3}{5}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{9}\)

Formula:

\(\dfrac{a}{b} – \dfrac{c}{d} = \dfrac{ad – bc}{bd}\)

\(= \dfrac{3}{5}-\dfrac{2}{9}\)

\(=\dfrac{27-10}{45}\)

\(=\dfrac{17}{45}\)

\(\text{Multiply} \dfrac{4}{6}\hspace{0.025in}and\hspace{0.025in}\dfrac{1}{4}\)

Formula:

\(\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}\)

\(=\dfrac{4}{6} \times \dfrac{1}{4}\)

\(=\dfrac{4 \times 1}{6 \times4}\)

\(=\dfrac{4}{24}\)

\(=\dfrac{1}{6}\)

\(\text{Divide} \dfrac{5}{4}\hspace{0.025in}and\hspace{0.025in}\dfrac{2}{3}\)

Formula:

\(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}\)

\(=\dfrac{5}{4} \div \dfrac{2}{3}\)

\(=\dfrac{5}{4} \times \dfrac{2}{3}\)

\(=\dfrac{5 \times 2}{4 \times3}\)

\(=\dfrac{10}{12}\)

\(=\dfrac{5}{6}\)

You can find that this online fraction calculator also uses the same formulats for calculating fraction related problems.

Fraction Table:

The following table contains fractions and decimal values that are widely used by engineers, astronomers, constructors, and mathematicians to simplify calculations:

References:

From the source of Wikipedia, the free encyclopedia: Forms of fractions

From the source of Wikihow: How to Do Fractions – a complete guide to understanding fractions

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