Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed step-by-footstep information near the fraction adding process. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

The result:

ane/iii * three/5 = 1 / 5 = 0.ii

Spelled result in words is one 5th.

How exercise we solve fractions footstep past step?

  1. Multiple: i / 3 * 3 / 5 = 1 · 3 / 3 · 5 = iii / fifteen = 1 · 3 / 5 · iii = i / five
    Multiply both numerators and denominators. Effect fraction proceed to lowest possible denominator GCD(three, xv) = iii. In the following intermediate step, abolish by a common gene of three gives ane / 5 .
    In other words - one third multiplied by iii fifths is 1 fifth.

Rules for expressions with fractions:

Fractions - utilize a forward slash to split up the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you apply mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) continue one space between the integer and
fraction and use a forrad slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/ii.
Because slash is both signs for fraction line and segmentation, use a colon (:) as the operator of division fractions i.east., one/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 proper name Symbol Significant Case
+ plus sign addition one/two + 1/three
- minus sign subtraction one 1/2 - 2/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication ii/3 × five/half-dozen
: division sign division 1/2 : 3
/ partitioning slash division i/3 / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/four^3
() parentheses calculate expression inside starting time -3/v - (-ane/4)

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

Fractions in give-and-take problems:

  • Denominator 2
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • In the cafeteria
    There are eighteen students in Jacob'south homeroom. 6 students bring their lunch to school. The residual swallow lunch in the deli. In the simplest grade, what fraction of students eat tiffin in the deli?
  • Max has two
    Max has thirteen pairs of socks. From this, six pairs are blue, iii pairs are brown, two are black, and two are white. What fraction of Max'southward socks are either dark-brown or black?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • A quarter
    A quarter of the number 72 is:
  • In fractions
    An ant climbs 2/5 of the pole in the first hour and climbs 1/iv of the pole in the next hour. What part of the pole does the ant climb in two hours?
  • Marry
    Marry had 1 i/2 dozen eggs in the refrigerator. She used i/3 of the eggs. What role of the eggs was used?
  • Children ix
    There are 11 children in a room. Six of the children are girls. What fraction of the children are girls?
  • Babies
    Two adults, two children, and four babies are on a motorbus. 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?
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.5 end fraction Give your answer to ii decimal places.

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