Fraction calculator

This fraction calculator performs basic and avant-garde fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It likewise shows detailed step-by-stride data nigh the fraction calculation process. The calculator helps in finding value from multiple fractions operations. Solve problems with 2, 3, or more fractions and numbers in one expression.

The effect:

3 * ii/5 = 6 / 5 = 1 i / 5 = i.two

Spelled consequence in words is vi fifths (or one and 1 fifth).

How do we solve fractions pace by pace?

  1. Multiple: 3 * 2 / 5 = 3 · 2 / 1 · 5 = half-dozen / 5
    Multiply both numerators and denominators. Result fraction go along to lowest possible denominator GCD(6, 5) = 1. In the following intermediate step, it cannot further simplify the fraction consequence by canceling.
    In other words - 3 multiplied by ii fifths is six fifths.

Rules for expressions with fractions:

Fractions - use a forrard slash to divide the numerator by the denominator, i.e., for 5-hundredths, enter v/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) proceed one space between the integer and
fraction and employ a forward slash to input fractions i.e., 1 2/3 . An case of a negative mixed fraction: -5 one/2.
Considering slash is both signs for fraction line and partition, use a colon (:) as the operator of sectionalization fractions i.e., 1/2 : 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 Significant Example
+ plus sign add-on i/two + 1/iii
- minus sign subtraction 1 ane/2 - 2/3
* asterisk multiplication two/iii * 3/four
× times sign multiplication two/3 × 5/6
: sectionalisation sign division 1/2 : 3
/ division slash division i/3 / 5
: colon complex fraction 1/two : i/3
^ caret exponentiation / ability i/four^3
() parentheses calculate expression inside get-go -3/5 - (-one/4)

The calculator follows well-known rules for the guild of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Improver, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division accept the aforementioned precedence over Addition and Subtraction. The MDAS rule is the social club of operations role of the PEMDAS rule.
Be careful; always do multiplication and sectionalisation earlier addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.

Fractions in word issues:

  • Evaluate expression
    Calculate the value of the expression z/3 - two z/9 + 1/six, for z = ii
  • Babies
    Two adults, two children, and four babies are on a bus. What fraction of the people are babies?
  • In the cafeteria
    At that place are 18 students in Jacob'south homeroom. Six students bring their tiffin to school. The residual eat tiffin in the cafeteria. In the simplest course, what fraction of students eat lunch in the cafeteria?
  • Fraction and a decimal
    Write equally a fraction and a decimal. One and two plus three and five hundredths
  • What is 22
    What is 7/21 in simplest course?
  • Using money
    Out of 550,000.00 given to a school, an amount 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's water he picked.
  • Denominator 2
    The denominator of a fraction is five, and the numerator is 7. Write the fraction.
  • Fruit basket
    If there are seven apples and five oranges in the handbasket, what fraction of oranges are in the fruit basket?
  • 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 course and what function to the 2nd grade. Shorten both fractions to their basic course.
  • A company
    A visitor has 860 employees, of which 500 are female. Write a fraction to represent the female person employees in the company.

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