Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It besides shows detailed pace-past-step data about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with ii, iii, or more than fractions and numbers in 1 expression.

The effect:

-9/2 + 5/12 = - 49 / 12 = -4 1 / 12 ≅ -4.0833333

Spelled result in words is minus twoscore-nine twelfths (or minus four and one twelfth).

How do we solve fractions step by stride?

  1. Unary minus: - 9 / 2 = - ix / 2
  2. Add: the upshot of footstep No. i + 5 / 12 = - ix / 2 + 5 / 12 = -nine · 6 / two · 6 + 5 / 12 = - 54 / 12 + five / 12 = -54 + 5 / 12 = - 49 / 12
    Information technology is suitable to adjust both fractions to a common (equal, identical) denominator for calculation, subtracting, and comparing fractions. The common denominator you can summate equally the least common multiple of both denominators - LCM(2, 12) = 12. In exercise, information technology is enough to find the common denominator (non necessarily the everyman) by multiplying the denominators: 2 × 12 = 24. In the following intermediate step, it cannot further simplify the fraction issue by canceling.
    In other words - minus ix halfs plus five twelfths is minus forty-nine twelfths.

Rules for expressions with fractions:

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

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 ii/three . An instance of a negative mixed fraction: -v 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of segmentation fractions i.eastward., 1/ii : 1/3.
Decimals (decimal numbers) enter with a decimal indicate . and they are automatically converted to fractions - i.east. i.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign addition 1/ii + i/three
- minus sign subtraction 1 1/2 - 2/3
* asterisk multiplication two/three * iii/iv
× times sign multiplication 2/3 × five/6
: division sign partitioning i/ii : iii
/ sectionalization slash partitioning i/three / five
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^iii
() parentheses calculate expression inside first -three/5 - (-one/iv)

The reckoner follows well-known rules for the order of operations. The almost common mnemonics for remembering this lodge of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Partitioning, Add-on, 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 take the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and partition before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in word problems:

  • Using money
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • Children 9
    In that location are eleven children in a room. Six of the children are girls. What fraction of the children are girls?
  • One Saturday
    One Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
  • What is 22
    What is seven/21 in simplest form?
  • In fractions
    An ant climbs 2/5 of the pole in the commencement hr and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in two hours?
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brown, two are blackness, and 2 are white. What fraction of Max's socks are either brown or black?
  • Fractions 80134
    There are 420 pupils in the school. Two 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 office to the 2nd grade. Shorten both fractions to their basic form.
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • Ally
    Marry had i 1/2 dozen eggs in the refrigerator. She used 1/3 of the eggs. What role of the eggs was used?
  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/9 + 1/half-dozen, for z = ii
  • A subcontract vi
    A farm has 20 animals. There are four chickens. What fraction of the animals are chickens? Express your answer as a fraction in the simplest form.

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