# 1/4 Divided by 2 as a Fraction

1/4 Divided by 2 as a Fraction.

## Calculator Use

Utilize this fraction estimator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in everyman terms or mixed numbers in reduced grade.

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

If yous accept negative fractions insert a minus sign before the numerator. So if 1 of your fractions is -vi/seven, insert -half dozen in the numerator and 7 in the denominator.

Sometimes math problems include the discussion “of,” as in
What is i/3 of 3/8?
Of means you should multiply so y’all need to solve 1/3 × iii/viii.

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

## Math on Fractions with Unlike Denominators

In that location are 2 cases where you lot need to know if your fractions accept unlike denominators:

• if yous are adding fractions
• if you are subtracting fractions

## How to Add together or Subtract Fractions

1. Discover the least common denominator
2. You can use the LCD Calculator to notice the least common denominator for a gear up of fractions
3. For your commencement fraction, find what number you demand to multiply the denominator past to upshot in the least common denominator
4. Multiply the numerator and denominator of your first fraction past that number
5. Echo Steps 3 and 4 for each fraction
7. For subtraction equations, subtract the fraction numerators
8. Convert improper fractions to mixed numbers
9. Reduce the fraction to lowest terms
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## How to Multiply Fractions

1. Multiply all numerators together
2. Multiply all denominators together
3. Reduce the issue to lowest terms

## How to Split Fractions

1. Rewrite the equation as in “Keep, Change, Flip”
2. Keep
the first fraction
3. Change
the division sign to multiplication
4. Flip
the 2d fraction by switching the top and lesser numbers
5. Multiply all numerators together
6. Multiply all denominators together
7. Reduce the event to lowest terms

## Fraction Formulas

In that location is a style to add together or subtract fractions without finding the least mutual denominator (LCD). This method involves cantankerous multiplication of the fractions. See the formulas below.

Yous may observe that it is easier to utilise these formulas than to do the math to notice the least common denominator.

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

The formula for adding fractions is:

$$\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{advertizement + bc}{bd}$$

Instance steps:

$$\dfrac{2}{half dozen} + \dfrac{i}{4} = \dfrac{(2\times4) + (vi\times1)}{6\times4}$$

$$= \dfrac{xiv}{24} = \dfrac {7}{12}$$

## Subtracting Fractions

The formula for subtracting fractions is:

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

Example steps:

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

$$= \dfrac{two}{24} = \dfrac {i}{12}$$

## Multiplying Fractions

The formula for multiplying fractions is:

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

Case steps:

$$\dfrac{2}{6} \times \dfrac{1}{4} = \dfrac{2\times1}{6\times4}$$

$$= \dfrac{two}{24} = \dfrac {1}{12}$$

## Dividing Fractions

The formula for dividing fractions is:

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

Case steps:

$$\dfrac{2}{six} \div \dfrac{1}{4} = \dfrac{two\times4}{half dozen\times1}$$

$$= \dfrac{8}{6} = \dfrac {iv}{3} = one \dfrac{1}{3}$$

### Related Calculators

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

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

For an explanation of how to cistron numbers to find the greatest common factor (GCF) see the Greatest Common Factor Computer.

If yous are simplifying large fractions past hand you can use the Long Sectionalization with Remainders Reckoner to notice whole number and remainder values.