3 1 8 Improper Fraction

Fractions Calculator

Computer Utilise

Employ this fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in everyman terms or mixed numbers in reduced form.

Input proper or improper fractions, select the math sign and click Summate. 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 -6/7, insert -half-dozen in the numerator and 7 in the denominator.

Sometimes math problems include the discussion "of," every bit in What is 1/iii of 3/8? Of ways you should multiply so you demand to solve ane/3 × 3/8.

To exercise math with mixed numbers (whole numbers and fractions) use the Mixed Numbers Calculator.

Math on Fractions with Unlike Denominators

There are 2 cases where yous need to know if your fractions have different denominators:

if y'all are adding fractions
if yous are subtracting fractions

How to Add or Subtract Fractions

Notice the least common denominator
Y'all can employ the LCD Calculator to find the to the lowest degree common denominator for a set of fractions
For your first fraction, find what number you need to multiply the denominator past to effect in the to the lowest degree mutual 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 together the fraction numerators
For subtraction equations, decrease 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 upshot to lowest terms

How to Divide Fractions

Rewrite the equation as in "Continue, Change, Flip"
Keep the first fraction
Alter the segmentation sign to multiplication
Flip the 2d fraction by switching the top and lesser numbers
Multiply all numerators together
Multiply all denominators together
Reduce the event to lowest terms

Fraction Formulas

At that place is a mode to add or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. Meet the formulas below.

You may discover that it is easier to apply these formulas than to do the math to find the least mutual denominator.

The formulas for multiplying and dividing fractions follow the same process every bit described above.

Calculation Fractions

The formula for adding fractions is:

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

Example steps:

\( \dfrac{2}{six} + \dfrac{i}{iv} = \dfrac{(two\times4) + (6\times1)}{6\times4} \)

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

Subtracting Fractions

The formula for subtracting fractions is:

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

Case steps:

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

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

Multiplying Fractions

The formula for multiplying fractions is:

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

Example steps:

\( \dfrac{two}{half dozen} \times \dfrac{1}{iv} = \dfrac{2\times1}{half dozen\times4} \)

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

Dividing Fractions

The formula for dividing fractions is:

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

Example steps:

\( \dfrac{2}{half dozen} \div \dfrac{i}{iv} = \dfrac{two\times4}{6\times1} \)

\( = \dfrac{8}{6} = \dfrac {4}{3} = 1 \dfrac{i}{3} \)

Related Calculators

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

If y'all want to simplify an individual fraction into lowest terms employ our Simplify Fractions Calculator.

For an caption of how to cistron numbers to find the greatest common cistron (GCF) see the Greatest Mutual Gene Computer.

If you are simplifying large fractions by hand you can use the Long Partitioning with Remainders Calculator to find whole number and remainder values.