Fraction computer

This calculator subtracts two fractions. When fractions take the same denominators figurer just subtracts the numerators and place the result over the common denominator. And so simplify the result to the lowest terms or a mixed number.

The result:

9/ten - 3/10 = 3 / 5 = 0.6

Spelled result in words is iii fifths.

How practise we solve fractions step by step?

  1. Subtract: ix / x - iii / x = 9 - 3 / 10 = vi / 10 = 2 · 3 / 2 · 5 = 3 / 5
    It is suitable to suit both fractions to a common (equal, identical) denominator for adding, subtracting, and comparison fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. In practise, it is enough to find the mutual denominator (not necessarily the lowest) past multiplying the denominators: 10 × ten = 100. In the following intermediate footstep, cancel past a common factor of two gives iii / five .
    In other words - 9 tenths minus iii tenths is iii fifths.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.east., for v-hundredths, enter 5/100. If yous use mixed numbers, leave a space betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go along one infinite betwixt the integer and
fraction and use a forward slash to input fractions i.e., 1 two/3 . An case of a negative mixed fraction: -v one/2.
Because slash is both signs for fraction line and division, employ a colon (:) as the operator of sectionalization fractions i.due east., 1/2 : one/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.e. one.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition ane/2 + 1/3
- minus sign subtraction 1 1/2 - ii/3
* asterisk multiplication 2/3 * 3/four
× times sign multiplication ii/3 × 5/6
: division sign division 1/2 : 3
/ partition slash segmentation ane/3 / five
: colon complex fraction one/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -3/v - (-1/4)

The calculator follows well-known rules for the order of operations. The almost mutual mnemonics for remembering this social club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Society, Segmentation, Multiplication, Improver, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
MDAS - Multiplication and Sectionalization take the aforementioned precedence over Addition and Subtraction. The MDAS dominion is the club of operations part of the PEMDAS dominion.
Be conscientious; ever do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.

Fractions in word bug:

  • A class Iv.A
    In a class, there are 15 girls and thirty boys.  What fraction of the class represents the boys?
  • Ane Saturday
    One Sat evening there are 40 girls, 25 boys, 18 women and 17 men at a movie house. What fraction are girls?
  • Max has ii
    Max has 13 pairs of socks. From this, 6 pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max'due south socks are either brown or black?
  • Using coin
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the full amount was used?
  • Everyman terms 2
    Nosotros can write the expression 4/12 in its lowest term as ane/3. What is 3/fifteen expressed in its everyman term?
  • The parsley
    Milka'due south grandmother planted 12 rows of vegetables. 1/six of the rows are carrots. The balance is parsley. How many rows are planted with parsley?
  • Zdeněk
    Zdeněk picked up 15 l of water from a 100-liter full-water butt. Write a fraction of what office of Zdeněk's water he picked.
  • Andy gets
    Andy gets five out of xv questions wrong in his math test. What fraction of the question does andy answer correctly?
  • Evaluate expression
    Calculate the value of the expression z/three - 2 z/9 + i/half-dozen, for z = 2
  • Babies
    Two adults, ii children, and 4 babies are on a autobus. What fraction of the people are babies?
  • In the cafeteria
    At that place are eighteen students in Jacob's homeroom. Six students bring their lunch to school. The rest consume lunch in the deli. In the simplest form, what fraction of students eat dejeuner in the cafeteria?

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