9 8 In Fraction Form

Fractions Calculator

Calculator Use

Employ this fraction computer for calculation, 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 Calculate. This is a fraction reckoner 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 -six/7, insert -vi in the numerator and vii in the denominator.

Sometimes math bug include the give-and-take "of," as in What is i/3 of 3/8? Of means you should multiply then you need to solve 1/3 × 3/8.

To practice math with mixed numbers (whole numbers and fractions) employ the Mixed Numbers Calculator.

Math on Fractions with Dissimilar Denominators

There are 2 cases where y'all need to know if your fractions take different denominators:

if you lot are adding fractions
if you are subtracting fractions

How to Add together or Subtract Fractions

Find the least mutual denominator
You can use the LCD Calculator to find the least common denominator for a fix of fractions
For your offset fraction, notice what number you lot need to multiply the denominator by to result in the to the lowest degree mutual denominator
Multiply the numerator and denominator of your first fraction by that number
Repeat Steps 3 and four for each fraction
For addition equations, add the fraction numerators
For subtraction equations, decrease the fraction numerators
Convert improper fractions to mixed numbers
Reduce the fraction to everyman terms

How to Multiply Fractions

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

How to Split Fractions

Rewrite the equation as in "Go along, Alter, Flip"
Proceed the first fraction
Change the partitioning sign to multiplication
Flip the 2nd fraction by switching the top and bottom numbers
Multiply all numerators together
Multiply all denominators together
Reduce the result to everyman terms

Fraction Formulas

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

You may discover that it is easier to utilise these formulas than to do the math to observe the to the lowest degree common denominator.

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

Adding Fractions

The formula for adding fractions is:

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

Instance steps:

\( \dfrac{two}{6} + \dfrac{1}{iv} = \dfrac{(two\times4) + (6\times1)}{6\times4} \)

\( = \dfrac{14}{24} = \dfrac {7}{12} \)

Subtracting Fractions

The formula for subtracting fractions is:

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

Example steps:

\( \dfrac{two}{6} - \dfrac{1}{iv} = \dfrac{(2\times4) - (six\times1)}{6\times4} \)

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

Multiplying Fractions

The formula for multiplying fractions is:

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

Case steps:

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

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

Dividing Fractions

The formula for dividing fractions is:

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

Example steps:

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

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

Related Calculators

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

If you want to simplify an individual fraction into everyman terms use our Simplify Fractions Calculator.

For an caption of how to factor numbers to observe the greatest mutual factor (GCF) see the Greatest Common Factor Reckoner.

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

Notes

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