What Is 1/6 Of 1/4

Fractions Calculator

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Use this fraction calculator 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 computer with steps shown in the solution.

If y'all have negative fractions insert a minus sign before the numerator. And so if 1 of your fractions is -half-dozen/seven, insert -half dozen in the numerator and vii in the denominator.

Sometimes math issues include the word "of," as in What is 1/iii of 3/8? Of means yous should multiply so you need to solve 1/3 × three/8.

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

Math on Fractions with Different Denominators

At that place are 2 cases where you need to know if your fractions accept different denominators:

if you are calculation fractions
if you lot are subtracting fractions

How to Add or Subtract Fractions

Find the to the lowest degree common denominator
You can use the LCD Calculator to find the least mutual denominator for a set of fractions
For your offset fraction, notice what number you demand to multiply the denominator by to result in the least mutual denominator
Multiply the numerator and denominator of your kickoff fraction past that number
Repeat Steps 3 and 4 for each fraction
For improver 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 equally in "Keep, Change, Flip"
Keep the showtime fraction
Change the segmentation sign to multiplication
Flip the second fraction past switching the summit and lesser numbers
Multiply all numerators together
Multiply all denominators together
Reduce the result to lowest terms

Fraction Formulas

In that location is a style to add or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. Come across the formulas below.

You may detect that it is easier to use these formulas than to exercise the math to find the least common denominator.

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

Adding Fractions

The formula for adding fractions is:

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

Example steps:

\( \dfrac{ii}{6} + \dfrac{1}{4} = \dfrac{(two\times4) + (6\times1)}{6\times4} \)

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

Subtracting Fractions

The formula for subtracting fractions is:

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

Example steps:

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

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

Multiplying Fractions

The formula for multiplying fractions is:

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

Example steps:

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

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

Dividing Fractions

The formula for dividing fractions is:

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

Case steps:

\( \dfrac{ii}{six} \div \dfrac{i}{four} = \dfrac{ii\times4}{6\times1} \)

\( = \dfrac{eight}{six} = \dfrac {4}{iii} = 1 \dfrac{one}{iii} \)

Related Calculators

To perform math operations on mixed number fractions utilize our Mixed Numbers Computer. This calculator tin can as well simplify improper fractions into mixed numbers and shows the work involved.

If you want to simplify an individual fraction into lowest terms utilise our Simplify Fractions Computer.

For an explanation of how to factor numbers to find the greatest common factor (GCF) encounter the Greatest Common Factor Calculator.

If you are simplifying big fractions past hand yous tin utilise the Long Sectionalization with Remainders Calculator to find whole number and residuum values.