7 8 In Fraction Form

Fractions Calculator

Figurer Use

Use this fraction computer for adding, subtracting, multiplying and dividing fractions. Answers are fractions in lowest terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution.

If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -vi/vii, insert -6 in the numerator and vii in the denominator.

Sometimes math problems include the word "of," every bit in What is i/3 of iii/8? Of means you should multiply then you need to solve 1/3 × 3/8.

To do math with mixed numbers (whole numbers and fractions) employ the Mixed Numbers Computer.

Math on Fractions with Unlike Denominators

In that location are 2 cases where you need to know if your fractions have different denominators:

if you are calculation fractions
if you are subtracting fractions

How to Add or Decrease Fractions

Observe the least common denominator
Y'all can apply the LCD Estimator to find the least common denominator for a set of fractions
For your first fraction, discover what number you need to multiply the denominator by to issue in the least common denominator
Multiply the numerator and denominator of your first fraction by that number
Repeat Steps 3 and 4 for each fraction
For addition equations, add the fraction numerators
For subtraction equations, subtract the fraction numerators
Convert improper fractions to mixed numbers
Reduce the fraction to lowest terms

How to Multiply Fractions

Multiply all numerators together
Multiply all denominators together
Reduce the result to lowest terms

How to Divide Fractions

Rewrite the equation as in "Keep, Alter, Flip"
Keep the offset fraction
Change the division sign to multiplication
Flip the second fraction by switching the top and bottom numbers
Multiply all numerators together
Multiply all denominators together
Reduce the result to lowest terms

Fraction Formulas

There is a way to add together or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. Run across the formulas below.

Yous may find that it is easier to use these formulas than to do the math to find the least common denominator.

The formulas for multiplying and dividing fractions follow the aforementioned process equally described above.

Calculation Fractions

The formula for adding fractions is:

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

Example steps:

\( \dfrac{2}{6} + \dfrac{1}{four} = \dfrac{(2\times4) + (6\times1)}{6\times4} \)

\( = \dfrac{fourteen}{24} = \dfrac {7}{12} \)

Subtracting Fractions

The formula for subtracting fractions is:

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

Example steps:

\( \dfrac{2}{half-dozen} - \dfrac{1}{4} = \dfrac{(two\times4) - (6\times1)}{half-dozen\times4} \)

\( = \dfrac{two}{24} = \dfrac {1}{12} \)

Multiplying Fractions

The formula for multiplying fractions is:

\( \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{air-conditioning}{bd} \)

Instance steps:

\( \dfrac{ii}{6} \times \dfrac{1}{4} = \dfrac{2\times1}{6\times4} \)

\( = \dfrac{2}{24} = \dfrac {1}{12} \)

Dividing Fractions

The formula for dividing fractions is:

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

Instance steps:

\( \dfrac{2}{six} \div \dfrac{1}{4} = \dfrac{2\times4}{vi\times1} \)

\( = \dfrac{viii}{vi} = \dfrac {4}{3} = one \dfrac{1}{3} \)

Related Calculators

To perform math operations on mixed number fractions use our Mixed Numbers Calculator. This computer can likewise simplify improper fractions into mixed numbers and shows the work involved.

If you desire to simplify an private fraction into lowest terms use our Simplify Fractions Calculator.

For an caption of how to gene numbers to find the greatest common factor (GCF) see the Greatest Common Factor Calculator.

If you are simplifying large fractions by mitt you can use the Long Division with Remainders Calculator to observe whole number and remainder values.