Fraction calculator

This estimator divides fractions. The first step makes the reciprocal value of the second fraction - exchange numerator and denominator of 2d fraction. Then multiply both numerators and place the effect over the product of both denominators. And then simplify the result to the lowest terms or a mixed number.

The result:

2/iii/i/3 = ii / nine ≅ 0.2222222

Spelled result in words is ii ninths.

How practice we solve fractions footstep by step?

  1. Split up: ii / 3 : 1 = 2 / 3 · ane / ane = two · 1 / 3 · 1 = ii / three
    Dividing 2 fractions is the same as multiplying the commencement fraction by the reciprocal value of the second fraction. The first sub-step is to notice the reciprocal (contrary the numerator and denominator, reciprocal of one / 1 is 1 / i ) of the second fraction. Next, multiply the ii numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result past canceling.
    In other words - two thirds divided by 1 is ii thirds.
  2. Divide: the result of stride No. i : 3 = 2 / 3 : 3 = 2 / 3 · one / 3 = two · 1 / three · 3 = 2 / 9
    Dividing two fractions is the same as multiplying the showtime fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3 / ane is 1 / 3 ) of the 2nd fraction. Adjacent, multiply the ii numerators. Then, multiply the two denominators. In the post-obit intermediate step, it cannot further simplify the fraction issue by canceling.
    In other words - two thirds divided past three is two ninths.

Rules for expressions with fractions:

Fractions - utilise a frontwards slash to divide the numerator past the denominator, i.e., for five-hundredths, enter v/100. If y'all use mixed numbers, leave a space betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and use a forward slash to input fractions i.e., ane 2/3 . An example of a negative mixed fraction: -five ane/2.
Because slash is both signs for fraction line and division, apply a colon (:) as the operator of division fractions i.east., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol name Symbol Pregnant Example
+ plus sign addition 1/2 + ane/3
- minus sign subtraction one 1/2 - 2/3
* asterisk multiplication two/3 * 3/iv
× times sign multiplication 2/3 × 5/6
: partition sign partition 1/2 : 3
/ partition slash division 1/3 / 5
: colon complex fraction one/2 : 1/iii
^ caret exponentiation / power 1/4^3
() parentheses summate expression inside beginning -iii/5 - (-1/iv)

The calculator follows well-known rules for the order of operations. The near common mnemonics for remembering this society of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Order, Sectionalisation, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partitioning, Add-on, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations office of the PEMDAS dominion.
Be careful; always do multiplication and partition before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in give-and-take problems:

  • Fraction to decimal
    Write the fraction iii/22 every bit a decimal.
  • Max has ii
    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max's socks are either brown or blackness?
  • A class IV.A
    In a class, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
  • Babies
    Two adults, two children, and iv babies are on a bus. What fraction of the people are babies?
  • Fruit basket
    If in that location are vii apples and v oranges in the basket, what fraction of oranges are in the fruit basket?
  • Zdeněk
    Zdeněk picked up 15 l of h2o from a 100-liter full-h2o barrel. Write a fraction of what part of Zdeněk's h2o he picked.
  • A farm 6
    A subcontract has twenty animals. At that place are four chickens. What fraction of the animals are chickens? Limited your respond as a fraction in the simplest form.
  • Lowest terms 2
    We can write the expression 4/12 in its lowest term as 1/three. What is iii/15 expressed in its everyman term?
  • Evaluate expression
    Calculate the value of the expression z/three - ii z/9 + 1/6, for z = 2
  • The parsley
    Milka's grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The residuum is parsley. How many rows are planted with parsley?
  • In the deli
    There are xviii students in Jacob's homeroom. Half-dozen students bring their tiffin to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students eat lunch in the cafeteria?

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