Fraction figurer

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation process. The calculator helps in finding value from multiple fractions operations. Solve problems with 2, 3, or more than fractions and numbers in i expression.

The result:

(5/6) : (1/vii) = 35 / half dozen = 5 5 / 6 5.8333333

Spelled consequence in words is xxx-five sixths (or v and five sixths).

How do we solve fractions step by step?

  1. Divide: 5 / half-dozen : 1 / seven = v / 6 · 7 / 1 = v · vii / half dozen · i = 35 / 6
    Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to discover the reciprocal (reverse the numerator and denominator, reciprocal of 1 / seven is vii / one ) of the second fraction. Next, multiply the two numerators. Then, multiply the 2 denominators. In the following intermediate pace, it cannot farther simplify the fraction effect by canceling.
    In other words - five sixths divided by 1 seventh is thirty-v sixths.

Rules for expressions with fractions:

Fractions - use a forrard slash to split the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If y'all utilize mixed numbers, exit a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) proceed one space between the integer and
fraction and use a forwards slash to input fractions i.e., 1 2/iii . An example of a negative mixed fraction: -five 1/2.
Because slash is both signs for fraction line and division, utilise a colon (:) as the operator of division fractions i.e., 1/2 : i/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 Case
+ plus sign addition i/ii + i/iii
- minus sign subtraction 1 1/2 - two/3
* asterisk multiplication ii/3 * 3/4
× times sign multiplication two/iii × 5/6
: division sign division 1/two : 3
/ division slash division 1/3 / five
: colon complex fraction 1/ii : ane/iii
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside outset -3/5 - (-one/4)

The reckoner 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, Add-on, Subtraction
BODMAS - Brackets, Of or Order, Sectionalisation, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Sectionalization have the same precedence over Add-on and Subtraction. The MDAS dominion is the lodge of operations part of the PEMDAS rule.
Be careful; always exercise multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.