Fraction figurer

This fraction calculator performs bones and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-stride information virtually the fraction adding procedure. The calculator helps in finding value from multiple fractions operations. Solve issues with two, three, or more than fractions and numbers in one expression.

The result:

2/iii * 9 = 6 / 1 = 6

Spelled consequence in words is 6.

How do we solve fractions step past stride?

  1. Multiple: 2 / three * ix = 2 · 9 / three · 1 = 18 / 3 = 6 · three / one · 3 = 6
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(eighteen, 3) = 3. In the following intermediate stride, abolish by a common factor of iii gives 6 / i .
    In other words - two thirds multiplied past nine is half dozen.

Rules for expressions with fractions:

Fractions - use a frontwards slash to split up the numerator past the denominator, i.east., for five-hundredths, enter 5/100. If y'all utilize mixed numbers, get out a space between the whole and fraction parts.

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

Math Symbols


Symbol Symbol proper name Symbol Meaning Example
+ plus sign add-on ane/2 + 1/iii
- minus sign subtraction 1 1/2 - ii/three
* asterisk multiplication 2/iii * 3/4
× times sign multiplication 2/three × v/6
: partitioning sign segmentation 1/ii : 3
/ division slash division 1/3 / 5
: colon complex fraction 1/2 : 1/iii
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside outset -three/five - (-one/4)

The computer follows well-known rules for the guild of operations. The virtually common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Partition, Multiplication, Improver, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Partition, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the order of operations function of the PEMDAS rule.
Exist conscientious; always do multiplication and partition before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • One Saturday
    One Sabbatum evening in that location are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • Babies
    Two adults, ii children, and 4 babies are on a jitney. What fraction of the people are babies?
  • Someone
    Someone ate one/10 of a cake, leaving simply 9/ten. If you lot eat 2/3 of the block left, how much of a whole block volition yous have eaten?
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator 10 minus 17 over denominator 6.5 finish fraction Requite your reply to 2 decimal places.
  • Max has two
    Max has 13 pairs of socks. From this, six pairs are blue, 3 pairs are dark-brown, two are black, and two are white. What fraction of Max'south socks are either chocolate-brown or blackness?
  • A class Iv.A
    In a class, there are xv girls and 30 boys.  What fraction of the course represents the boys?
  • Ally
    Marry had 1 i/ii dozen eggs in the refrigerator. She used 1/three of the eggs. What part of the eggs was used?
  • Fruit basket
    If there are vii apples and five oranges in the basket, what fraction of oranges are in the fruit handbasket?
  • In the cafeteria
    There are 18 students in Jacob's homeroom. Six students bring their lunch to schoolhouse. The rest eat lunch in the deli. In the simplest form, what fraction of students eat tiffin in the cafeteria?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • A company
    A visitor has 860 employees, of which 500 are female. Write a fraction to stand for the female person employees in the company.

more math problems »