Fraction calculator

This fraction calculator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It as well shows detailed stride-past-step information about the fraction adding 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:

6 * 1/2 = 3 / 1 = iii

Spelled result in words is 3.

How do we solve fractions step by stride?

  1. Multiple: 6 * 1 / 2 = 6 · 1 / 1 · 2 = vi / two = iii · ii / 1 · 2 = 3
    Multiply both numerators and denominators. Result fraction proceed to lowest possible denominator GCD(half-dozen, 2) = 2. In the following intermediate step, cancel by a common factor of 2 gives three / 1 .
    In other words - six multiplied past i half is iii.

Rules for expressions with fractions:

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

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

Math Symbols


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

The calculator follows well-known rules for the order of operations. The about mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Partitioning, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Partition, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS dominion.
Be careful; ever exercise multiplication and division earlier improver and subtraction. Some operators (+ and -) and (* and /) take the aforementioned priority and must evaluate from left to correct.

Fractions in word problems:

  • One Sat
    One Sabbatum evening in that location are 40 girls, 25 boys, eighteen women and 17 men at a cinema. What fraction are girls?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • Max has ii
    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are chocolate-brown, two are black, and two are white. What fraction of Max'southward socks are either brown or black?
  • Andy gets
    Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy reply correctly?
  • What is 22
    What is 7/21 in simplest form?
  • Babies
    Ii adults, ii children, and four babies are on a bus. What fraction of the people are babies?
  • In the cafeteria
    At that place are 18 students in Jacob'southward homeroom. Half-dozen students bring their luncheon to school. The rest swallow lunch in the cafeteria. In the simplest grade, what fraction of students eat lunch in the cafeteria?
  • Children 9
    There are 11 children in a room. 6 of the children are girls. What fraction of the children are girls?
  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/ix + i/6, for z = 2
  • Marry
    Marry had 1 ane/2 dozen eggs in the refrigerator. She used 1/iii of the eggs. What part of the eggs was used?
  • Fraction and a decimal
    Write every bit a fraction and a decimal. Ane and ii plus three and five hundredths

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