Fraction calculator

This calculator subtracts two fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Find Least Mutual Denominator (LCD) or elementary multiply all denominators to observe common denominator. When all denominators are same, only subtract the numerators and identify the result over the common denominator. And then simplify the result to the lowest terms or a mixed number.

The effect:

7/10 - ane/2 = 1 / 5 = 0.2

Spelled result in words is one fifth.

How practise we solve fractions step past pace?

  1. Subtract: 7 / 10 - 1 / 2 = seven / ten - 1 · 5 / 2 · 5 = 7 / 10 - v / ten = 7 - 5 / 10 = two / 10 = 2 · 1 / 2 · v = 1 / v
    For adding, subtracting, and comparison fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The mutual denominator yous can calculate every bit the least common multiple of both denominators - LCM(10, two) = 10. In do, it is enough to find the mutual denominator (not necessarily the lowest) by multiplying the denominators: 10 × 2 = twenty. In the following intermediate step, abolish by a common gene of 2 gives 1 / five .
    In other words - 7 tenths minus i half is ane fifth.

Rules for expressions with fractions:

Fractions - use a frontwards slash to split the numerator past the denominator, i.e., for five-hundredths, enter 5/100. If you lot use mixed numbers, get out a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forrard slash to input fractions i.e., 1 2/3 . An instance of a negative mixed fraction: -v one/two.
Because slash is both signs for fraction line and division, utilise 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.east. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign improver i/2 + 1/3
- minus sign subtraction ane 1/2 - ii/three
* asterisk multiplication 2/3 * iii/four
× times sign multiplication two/three × 5/half-dozen
: division sign partition ane/ii : three
/ division slash partitioning 1/3 / 5
: colon complex fraction i/2 : ane/3
^ caret exponentiation / power 1/four^three
() parentheses summate expression inside start -three/v - (-1/4)

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

Fractions in give-and-take issues:

  • A class Four.A
    In a class, there are 15 girls and 30 boys.  What fraction of the course represents the boys?
  • One Saturday
    One Sat evening there are xl girls, 25 boys, 18 women and 17 men at a movie theatre. What fraction are girls?
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are blue, three pairs are chocolate-brown, ii are black, and ii are white. What fraction of Max's socks are either chocolate-brown or black?
  • 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?
  • Zdeněk
    Zdeněk picked upward xv l of water from a 100-liter total-h2o barrel. Write a fraction of what office of Zdeněk'south h2o he picked.
  • Lowest terms two
    We tin can write the expression 4/12 in its lowest term as 1/3. What is three/fifteen expressed in its lowest term?
  • The parsley
    Milka'southward grandmother planted 12 rows of vegetables. 1/half dozen of the rows are carrots. The residuum is parsley. How many rows are planted with parsley?
  • Andy gets
    Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy answer correctly?
  • Evaluate expression
    Calculate the value of the expression z/3 - 2 z/ix + 1/6, for z = ii
  • Babies
    Ii adults, two children, and 4 babies are on a bus. What fraction of the people are babies?
  • In the cafeteria
    There are xviii students in Jacob's homeroom. Six students bring their tiffin to school. The rest swallow dejeuner in the cafeteria. In the simplest course, what fraction of students swallow luncheon in the cafeteria?

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