Fraction calculator

This calculator divides fractions. The get-go step makes the reciprocal value of the second fraction - exchange numerator and denominator of 2nd fraction. Then multiply both numerators and place the result over the product of both denominators. So simplify the event to the lowest terms or a mixed number.

The consequence:

5/5÷i/2 = ii / one = 2

Spelled result in words is two.

How do we solve fractions step past step?

  1. Divide: 5 / 5 : i / two = v / 5 · 2 / one = 5 · 2 / 5 · 1 = ten / 5 = 5 · 2 / 5 · i = 2
    Dividing ii fractions is the same as multiplying the beginning fraction past the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1 / two is 2 / 1 ) of the second fraction. Adjacent, multiply the ii numerators. And then, multiply the ii denominators. In the following intermediate step, cancel past a mutual gene of 5 gives ii / 1 .
    In other words - five fifths divided by one half is two.

Rules for expressions with fractions:

Fractions - use a forwards slash to divide the numerator by the denominator, i.eastward., for 5-hundredths, enter v/100. If y'all use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space betwixt the integer and
fraction and use a frontwards slash to input fractions i.e., 1 two/3 . An instance of a negative mixed fraction: -5 1/two.
Considering slash is both signs for fraction line and sectionalisation, use a colon (:) as the operator of sectionalization fractions i.e., i/2 : ane/iii.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.east. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign add-on ane/2 + one/3
- minus sign subtraction ane i/ii - 2/iii
* asterisk multiplication two/3 * 3/4
× times sign multiplication two/3 × 5/half dozen
: partitioning sign division 1/2 : 3
/ sectionalization slash division 1/3 / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power ane/4^3
() parentheses summate expression inside first -3/5 - (-1/iv)

The calculator follows well-known rules for the society of operations. The near common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Sectionalization have the aforementioned precedence over Addition and Subtraction. The MDAS dominion is the order of operations role of the PEMDAS dominion.
Be conscientious; e'er exercise multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in discussion problems:

  • A quarter
    A quarter of the number 72 is:
  • In fractions
    An ant climbs 2/5 of the pole in the first hr and climbs ane/4 of the pole in the adjacent 60 minutes. What office of the pole does the ant climb in ii hours?
  • Max has 2
    Max has 13 pairs of socks. From this, vi pairs are blue, three pairs are brownish, 2 are black, and two are white. What fraction of Max's socks are either brown or blackness?
  • Denominator 2
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • In the deli
    At that place are 18 students in Jacob's homeroom. 6 students bring their dejeuner to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students consume luncheon in the cafeteria?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • A form 4.A
    In a class, at that place are 15 girls and thirty boys.  What fraction of the class represents the boys?
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator 10 minus 17 over denominator 6.5 end fraction Give your reply to 2 decimal places.
  • Children 9
    At that place are eleven children in a room. Half dozen of the children are girls. What fraction of the children are girls?
  • Babies
    Ii adults, ii children, and four babies are on a bus. What fraction of the people are babies?
  • Fruit basket
    If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?

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