Fraction calculator

This fraction calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. Information technology also shows detailed stride-by-footstep information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with ii, iii, or more fractions and numbers in i expression.

The upshot:

4 * 3/4 = 3 / 1 = 3

Spelled result in words is 3.

How do we solve fractions step by pace?

  1. Multiple: iv * three / 4 = 4 · 3 / 1 · 4 = 12 / 4 = three · four / 1 · iv = 3
    Multiply both numerators and denominators. Issue fraction keep to everyman possible denominator GCD(12, 4) = 4. In the following intermediate step, abolish past a common factor of four gives 3 / 1 .
    In other words - four multiplied past iii quarters is three.

Rules for expressions with fractions:

Fractions - utilise a frontwards slash to separate the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, exit a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) proceed i space between the integer and
fraction and utilise a forward slash to input fractions i.e., one 2/iii . An instance of a negative mixed fraction: -5 1/ii.
Because slash is both signs for fraction line and division, utilise a colon (:) every bit the operator of sectionalisation fractions i.due east., 1/2 : 1/three.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.east. one.45.

Math Symbols


Symbol Symbol name Symbol Pregnant Example
+ plus sign improver 1/ii + 1/3
- minus sign subtraction 1 1/2 - 2/three
* asterisk multiplication 2/3 * iii/4
× times sign multiplication ii/3 × v/six
: partition sign division 1/2 : iii
/ division slash division ane/3 / 5
: colon circuitous fraction ane/2 : 1/3
^ caret exponentiation / power i/4^3
() parentheses calculate expression inside first -3/5 - (-1/4)

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

Fractions in word problems:

  • A course 4.A
    In a form, there are 15 girls and thirty boys.  What fraction of the course represents the boys?
  • Fruit basket
    If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?
  • Zdeněk
    Zdeněk picked up xv l of water from a 100-liter full-h2o barrel. Write a fraction of what part of Zdeněk's water he picked.
  • Everyman terms ii
    We can write the expression four/12 in its everyman term every bit 1/3. What is iii/15 expressed in its lowest term?
  • A company
    A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.
  • Using money
    Out of 550,000.00 given to a school, an corporeality of 325,000.00 was used. What fraction of the total amount was used?
  • One Saturday
    One Sabbatum evening at that place are 40 girls, 25 boys, 18 women and 17 men at a movie theater. What fraction are girls?
  • Marry
    Marry had ane 1/2 dozen eggs in the refrigerator. She used i/iii of the eggs. What office of the eggs was used?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • Babies
    Two adults, two children, and four babies are on a jitney. What fraction of the people are babies?
  • In fractions
    An ant climbs 2/five of the pole in the first hour and climbs 1/four of the pole in the side by side hr. What part of the pole does the ant climb in 2 hours?

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