Fraction calculator

This fraction computer performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed footstep-by-step data most the fraction adding procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more than fractions and numbers in one expression.

The effect:

30/100 = 3 / 10 = 0.iii

Spelled result in words is 3 tenths.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you lot use 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 use a forward slash to input fractions i.east., 1 2/3 . An instance of a negative mixed fraction: -five ane/two.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.due east. one.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign addition 1/2 + one/3
- minus sign subtraction ane one/2 - 2/3
* asterisk multiplication two/iii * 3/4
× times sign multiplication 2/iii × 5/half-dozen
: division sign division 1/2 : iii
/ division slash division 1/3 / 5
: colon complex fraction 1/ii : one/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within offset -3/5 - (-1/four)

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

Fractions in word problems:

  • Simplify 12
    Simplify {ane/three + 1/12} ÷ {2/three - 5/eight}
  • A subcontract 6
    A subcontract has 20 animals. At that place are four chickens. What fraction of the animals are chickens? Express your reply every bit a fraction in the simplest grade.
  • Marry
    Marry had 1 ane/2 dozen eggs in the refrigerator. She used i/three of the eggs. What part of the eggs was used?
  • Fractions 80134
    There are 420 pupils in the schoolhouse. Ii hundred fifty-two pupils go to the 1st level. Write as a fraction what part of the pupils goes to the 1st grade and what part to the 2d grade. Shorten both fractions to their basic form.
  • A company
    A company has 860 employees, of which 500 are female person. Write a fraction to represent the female employees in the visitor.
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 over denominator 6.v end fraction Give your answer to 2 decimal places.
  • Max has two
    Max has xiii pairs of socks. From this, vi pairs are blue, three pairs are brownish, ii are blackness, and 2 are white. What fraction of Max's socks are either brown or black?
  • Fraction and a decimal
    Write equally a fraction and a decimal. One and 2 plus three and five hundredths
  • A quarter
    A quarter of the number 72 is:
  • Using money
    Out of 550,000.00 given to a schoolhouse, an amount of 325,000.00 was used. What fraction of the total corporeality was used?

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