Fraction calculator

This fraction calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve issues with ii, three, or more than fractions and numbers in ane expression.

The result:

5/6 = 5 / 6 ≅ 0.8333333

Spelled result in words is five sixths.

Rules for expressions with fractions:

Fractions - use a forrad slash to carve up the numerator past the denominator, i.e., for five-hundredths, enter 5/100. If y'all utilise mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on one space between the integer and
fraction and use a forwards slash to input fractions i.east., 1 ii/3 . An example of a negative mixed fraction: -5 i/2.
Because slash is both signs for fraction line and partitioning, apply a colon (:) every bit the operator of partition fractions i.e., 1/2 : 1/three.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.eastward. i.45.

Math Symbols


Symbol Symbol name Symbol Significant Case
+ plus sign addition one/2 + 1/iii
- minus sign subtraction one 1/ii - 2/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × 5/half-dozen
: segmentation sign division ane/2 : three
/ partitioning slash division i/iii / five
: colon complex fraction 1/2 : 1/three
^ caret exponentiation / power 1/four^3
() parentheses calculate expression inside first -3/5 - (-1/4)

The calculator follows well-known rules for the order of operations. The nigh mutual mnemonics for remembering this society of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalization, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Add-on and Subtraction. The MDAS rule is the order of operations role of the PEMDAS dominion.
Be conscientious; 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 word issues:

  • Denominator 2
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • One Sat
    One Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a picture palace. What fraction are girls?
  • Marry
    Marry had 1 ane/2 dozen eggs in the refrigerator. She used 1/3 of the eggs. What part of the eggs was used?
  • A visitor
    A company has 860 employees, of which 500 are female person. Write a fraction to represent the female employees in the company.
  • Babies
    2 adults, two children, and four babies are on a coach. What fraction of the people are babies?
  • Fraction and a decimal
    Write every bit a fraction and a decimal. One and two plus three and five hundredths
  • Andy gets
    Andy gets five out of 15 questions wrong in his math exam. What fraction of the question does andy answer correctly?
  • Everyman terms two
    Nosotros can write the expression four/12 in its lowest term as i/three. What is iii/15 expressed in its lowest term?
  • Using money
    Out of 550,000.00 given to a school, an corporeality of 325,000.00 was used. What fraction of the total amount was used?
  • Value of Z
    For 10 = -9, what is the value of Z, where Z equals fraction numerator 10 minus 17 over denominator six.5 end fraction Give your answer to 2 decimal places.
  • Someone
    Someone ate 1/ten of a cake, leaving only 9/10. If you eat 2/iii of the cake left, how much of a whole block will y'all accept eaten?

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