Fraction estimator

This figurer divides fraction by integer or whole number. To split up fraction past a whole number, nosotros divide the denominator past the whole number. And so simplify the issue to the lowest terms or a mixed number.

The consequence:

7/12/three = 7 / 36 ≅ 0.1944444

Spelled result in words is seven thirty-sixths.

How exercise nosotros solve fractions stride by step?

  1. Divide: 7 / 12 : iii = 7 / 12 · 1 / 3 = seven · 1 / 12 · 3 = 7 / 36
    Dividing 2 fractions is the same as multiplying the showtime fraction by the reciprocal value of the second fraction. The first sub-stride is to notice the reciprocal (reverse the numerator and denominator, reciprocal of 3 / 1 is 1 / 3 ) of the second fraction. Side by side, multiply the ii numerators. Then, multiply the 2 denominators. In the following intermediate step, information technology cannot further simplify the fraction result by canceling.
    In other words - seven twelfths divided by iii is seven thirty-sixths.

Rules for expressions with fractions:

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

Mixed numerals (mixed numbers or fractions) proceed one infinite between the integer and
fraction and use a forward slash to input fractions i.e., one two/3 . An instance of a negative mixed fraction: -v 1/2.
Because slash is both signs for fraction line and segmentation, utilize a colon (:) as the operator of sectionalization fractions i.e., 1/two : 1/3.
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 Example
+ plus sign addition ane/two + i/iii
- minus sign subtraction ane one/2 - two/3
* asterisk multiplication ii/3 * three/4
× times sign multiplication ii/three × five/vi
: division sign division 1/2 : 3
/ sectionalisation slash sectionalisation i/3 / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -iii/5 - (-1/4)

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalisation, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Partition have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations function of the PEMDAS rule.
Exist careful; always practise multiplication and segmentation before improver and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.

Fractions in word issues:

  • In the cafeteria
    At that place are 18 students in Jacob'southward homeroom. Six students bring their lunch to school. The balance eat lunch in the cafeteria. In the simplest class, what fraction of students swallow dejeuner in the cafeteria?
  • Evaluate expression
    Summate the value of the expression z/iii - two z/nine + ane/6, for z = 2
  • Babies
    Two adults, 2 children, and four babies are on a coach. What fraction of the people are babies?
  • Fraction and a decimal
    Write as a fraction and a decimal. One and two plus iii and v hundredths
  • Using coin
    Out of 550,000.00 given to a school, an corporeality of 325,000.00 was used. What fraction of the total corporeality was used?
  • Zdeněk
    Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk'due south water he picked.
  • Denominator two
    The denominator of a fraction is 5, and the numerator is 7. Write the fraction.
  • Fruit basket
    If at that place are vii apples and v oranges in the basket, what fraction of oranges are in the fruit basket?
  • Fractions 80134
    There are 420 pupils in the school. Ii hundred fifty-ii pupils get to the 1st level. Write every bit a fraction what office of the pupils goes to the 1st grade and what part to the 2nd grade. Shorten both fractions to their basic form.
  • A visitor
    A company has 860 employees, of which 500 are female person. Write a fraction to correspond the female employees in the visitor.
  • The parsley
    Milka'south grandmother planted 12 rows of vegetables. ane/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?

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