Fraction calculator

This fraction estimator performs bones and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-past-footstep information nigh the fraction adding procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, iii, or more fractions and numbers in 1 expression.

The result:

6 : (i/3) = 18 / 1 = eighteen

Spelled effect in words is eighteen.

How do nosotros solve fractions step by step?

  1. Split: 6 : 1 / 3 = 6 / 1 · iii / 1 = 6 · three / ane · one = xviii / 1 = 18
    Dividing 2 fractions is the aforementioned as multiplying the first fraction past the reciprocal value of the 2d fraction. The first sub-stride is to find the reciprocal (opposite the numerator and denominator, reciprocal of 1 / iii is 3 / 1 ) of the 2d fraction. Next, multiply the two numerators. Then, multiply the ii denominators.
    In other words - six divided by 1 third is eighteen.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator past the denominator, i.east., for five-hundredths, enter five/100. If y'all use mixed numbers, go out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and use a frontwards slash to input fractions i.e., 1 two/three . An example of a negative mixed fraction: -5 ane/ii.
Because slash is both signs for fraction line and division, use a colon (:) equally the operator of division fractions i.e., 1/two : 1/3.
Decimals (decimal numbers) enter with a decimal bespeak . and they are automatically converted to fractions - i.e. ane.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign add-on 1/2 + 1/iii
- minus sign subtraction i 1/2 - 2/3
* asterisk multiplication 2/three * 3/four
× times sign multiplication 2/3 × 5/six
: sectionalisation sign division 1/2 : 3
/ segmentation slash segmentation i/three / five
: colon complex fraction 1/2 : one/3
^ caret exponentiation / power 1/iv^three
() parentheses summate expression inside first -iii/5 - (-1/4)

The estimator follows well-known rules for the order 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, Sectionalization, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Sectionalisation, Add-on, Subtraction.
MDAS - Multiplication and Segmentation take the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS dominion.
Be conscientious; always do multiplication and sectionalization before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.