Fraction computer

This fraction estimator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-past-step information nearly the fraction calculation procedure. The estimator helps in finding value from multiple fractions operations. Solve problems with ii, three, or more fractions and numbers in one expression.

The outcome:

i/iv * 1/iv = 1 / 16 = 0.0625

Spelled upshot in words is 1 sixteenth.

How exercise we solve fractions pace by footstep?

  1. Multiple: 1 / 4 * 1 / 4 = i · i / 4 · 4 = 1 / xvi
    Multiply both numerators and denominators. Result fraction proceed to everyman possible denominator GCD(i, 16) = 1. In the following intermediate footstep, it cannot farther simplify the fraction result by canceling.
    In other words - one quarter multiplied by one quarter is one sixteenth.

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 employ mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space betwixt the integer and
fraction and utilise a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Considering slash is both signs for fraction line and division, use a colon (:) as the operator of sectionalisation fractions i.e., i/ii : 1/three.
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 Case
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 1/two - 2/three
* asterisk multiplication 2/3 * three/four
× times sign multiplication ii/3 × v/6
: division sign segmentation ane/2 : iii
/ division slash division 1/3 / 5
: colon complex fraction 1/two : 1/3
^ caret exponentiation / power ane/4^3
() parentheses summate expression inside outset -iii/five - (-1/4)

The calculator follows well-known rules for the lodge of operations. The virtually mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Guild, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Partition have the same precedence over Add-on and Subtraction. The MDAS dominion is the order of operations part of the PEMDAS dominion.
Be conscientious; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) take the aforementioned priority and must evaluate from left to right.

Fractions in word issues:

  • Marry
    Ally had ane 1/two dozen eggs in the refrigerator. She used 1/3 of the eggs. What office of the eggs was used?
  • In the deli
    There are 18 students in Jacob'southward homeroom. Six students bring their lunch to school. The remainder swallow dejeuner in the cafeteria. In the simplest course, what fraction of students eat lunch in the deli?
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are dark-brown, 2 are black, and 2 are white. What fraction of Max's socks are either brown or black?
  • The parsley
    Milka'south grandmother planted 12 rows of vegetables. 1/vi of the rows are carrots. The residue is parsley. How many rows are planted with parsley?
  • A class Iv.A
    In a course, at that place are 15 girls and 30 boys.  What fraction of the grade represents the boys?
  • Evaluate expression
    Calculate the value of the expression z/three - 2 z/9 + i/half-dozen, for z = ii
  • Lowest terms 2
    We can write the expression four/12 in its lowest term as i/3. What is 3/15 expressed in its lowest term?
  • Value of Z
    For ten = -9, what is the value of Z, where Z equals fraction numerator ten minus 17 over denominator 6.5 end fraction Give your answer to 2 decimal places.
  • Fruit basket
    If there are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • Zdeněk
    Zdeněk picked up 15 fifty of h2o from a 100-liter full-water barrel. Write a fraction of what function of Zdeněk's water he picked.
  • Fraction and a decimal
    Write as a fraction and a decimal. One and ii plus three and five hundredths

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