Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-pace information nearly the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, iii, or more than fractions and numbers in one expression.

The result:

one/2 * 2/3 = 1 / 3 ≅ 0.3333333

Spelled outcome in words is one tertiary.

How do we solve fractions stride by step?

  1. Multiple: 1 / 2 * ii / iii = i · ii / 2 · 3 = ii / vi = one · 2 / 3 · ii = ane / iii
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, vi) = two. In the following intermediate step, abolish by a mutual gene of ii gives 1 / 3 .
    In other words - ane one-half multiplied by two thirds is one third.

Rules for expressions with fractions:

Fractions - use a forrard slash to split the numerator past the denominator, i.eastward., for five-hundredths, enter five/100. If yous utilize mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on ane space between the integer and
fraction and utilize a forrard slash to input fractions i.e., 1 2/three . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) equally the operator of partitioning fractions i.east., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal bespeak . and they are automatically converted to fractions - i.east. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Case
+ plus sign addition one/2 + 1/3
- minus sign subtraction 1 1/ii - 2/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/iii × 5/vi
: segmentation sign partitioning ane/2 : iii
/ segmentation slash sectionalization ane/3 / v
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -3/5 - (-1/4)

The computer follows well-known rules for the guild of operations. The most common mnemonics for remembering this social club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Improver, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Improver, Subtraction.
MDAS - Multiplication and Segmentation have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS dominion.
Be conscientious; always practise multiplication and partitioning before add-on and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • In fractions
    An ant climbs 2/five of the pole in the first hour and climbs 1/four of the pole in the next 60 minutes. What function of the pole does the emmet climb in two hours?
  • Denominator two
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • Fruit basket
    If there are vii apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • The parsley
    Milka'southward grandmother planted 12 rows of vegetables. 1/half dozen of the rows are carrots. The rest is parsley. How many rows are planted with parsley?
  • In the deli
    At that place are 18 students in Jacob'due south homeroom. 6 students bring their lunch to school. The rest swallow tiffin in the deli. In the simplest form, what fraction of students eat lunch in the cafeteria?
  • Someone
    Someone ate 1/10 of a cake, leaving only 9/10. If y'all eat 2/three of the cake left, how much of a whole cake will y'all take eaten?
  • Everyman terms two
    We can write the expression iv/12 in its lowest term as 1/3. What is 3/15 expressed in its lowest term?
  • A quarter
    A quarter of the number 72 is:
  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = two
  • Babies
    Two adults, 2 children, and four babies are on a motorcoach. What fraction of the people are babies?
  • One Saturday
    I Saturday evening there are forty girls, 25 boys, eighteen women and 17 men at a movie theater. What fraction are girls?

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