4 1/2 Divided By 4

Fraction Calculator

At present yous tin Add Fractions, Subtract Fractions, Multiply Fractions, or Separate Fractions online. Find your respond in the simplest form with this Online Fraction Calculator.

How do yous add together fractions?

There are two cases regarding the denominators when we add ordinary fractions that are shown every bit follow in steps:

Calculation fractions that have like denominators:

• Simply add together the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.
For instance: a/b + d/b = (a + d)/b
or
7/17 + 9/17 = (7 + 9)/17

Adding fractions with dissimilar denominators:

• If the denominators don't lucifer, Multiply the denominators together.
• Suit your numerators (elevation numbers) accordingly. E.g. if you doubled the denominator, and then double its numerator.
• Add together together the numerators, and put this total over the mutual denominator.
• Simplify the fraction to the smallest possible denominator, with the numerators also reduced proportionately.
Example: a/b + c/d = (advertising + cb)/bd
For calculation the fractions i/three and 1/v,
one/3 + ane/v = (1*5 + ane*iii)/3*5 = v+3/15 = 8/15
The sum 8/15 is already in its simplest form.

How do you subract fractions?

At that place are 2 cases regarding the denominators when nosotros subtract ordinary fractions that are shown equally follow with steps:

Subtracting fractions with similar denominators:

• Simply subtract the numerators of the fractions.
• The denominator of the resulting fraction will be the common denominator of the fractions.
• Reduce the resulting fraction.
An case
• a/d - c/d = (a-c)/d
• four/18 - 3/18 = ( four - 3)/18 = 1/18

Subtracting fractions with different denominators:

• If the denominators don't friction match Multiply the denominators together.
• Adjust your numerators (top numbers) accordingly. East.thousand. if you doubled the denominator, and then double its numerator.
• subtract the numerators, and put this total over the common denominator.
• Simplify the fraction to the smallest possible denominator, with the numerator as well reduced proportionately.
a/b - c/d = (advertizing - cb)/bd
For subtracting the fractions 1/three and 1/5,
1/3 - 1/5 = (1*five - i*3)/iii*5 = 5-3/15 = 2/xv
Example: For subtracting the fractions 10/fifteen and one/5,
10/fifteen - one/5 = (10*five - 1*fifteen)/15*v = 50-15/75 = 35/75 = seven/fifteen

How practise yous multiply fractions?

Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a mutual denominator in order to multiply fractions, multiplying fractions is shown equally follow in steps:

• Merely, the numerators and denominators of each fraction are multiplied.
• The result forms a new numerator and denominator.
• If possible, the solution should be simplified. Refer to the equations below for clarification.
a/b × c/d = a*c / b*d
Instance: Multiply the fractions 10/15 and 1/5.
10/xv × 1/5 =10/75
or =two/fifteen
The answer ii/xv is already in its simplest form.

How do you divide fractions?

For dividing the fractions the steps are as follows:
• Yous first notice the reciprocal of the second fraction.
• And then multiply both fractions to go the result.
Example:
For dividing the fraction a/b and c/d the reciprocal of c/d is d/c.
You then multiply the first fraction by the reciprocal of the 2nd fraction.
a/b ÷ c/d =a/b x d/c = a*d / b*c
Example ii: For dividing the fractions 1/v and 15/4.
1/v ÷ 15/iv = 1/5 x 4/15 = 4/75
The reply is iv/75. This answer is already in its simplest form. Fraction Calculator