Fraction calculator

This calculator subtracts two fractions. When fractions have unlike denominators, firstly convert all fractions to mutual denominator. Find Least Common Denominator (LCD) or elementary multiply all denominators to find common denominator. When all denominators are aforementioned, only subtract the numerators and identify the consequence over the common denominator. So simplify the result to the everyman terms or a mixed number.

The effect:

iii/4 - 1/half dozen = seven / 12 ≅ 0.5833333

Spelled result in words is seven twelfths.

How exercise nosotros solve fractions step by step?

  1. Subtract: 3 / 4 - 1 / six = 3 · 3 / four · 3 - 1 · two / 6 · 2 = 9 / 12 - two / 12 = 9 - 2 / 12 = 7 / 12
    Information technology is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The mutual denominator you can summate equally the least common multiple of both denominators - LCM(4, half dozen) = 12. In do, it is enough to find the common denominator (non necessarily the everyman) by multiplying the denominators: four × half dozen = 24. In the post-obit intermediate stride, it cannot farther simplify the fraction result by canceling.
    In other words - 3 quarters minus i sixth is 7 twelfths.

Rules for expressions with fractions:

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you lot use mixed numbers, get out a infinite betwixt the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space betwixt the integer and
fraction and utilise a forward slash to input fractions i.e., 1 2/iii . An example of a negative mixed fraction: -5 i/2.
Because slash is both signs for fraction line and division, use a colon (:) equally the operator of division fractions i.e., i/2 : one/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. ane.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign improver 1/2 + 1/iii
- minus sign subtraction 1 i/2 - 2/three
* asterisk multiplication two/iii * 3/4
× times sign multiplication ii/three × 5/6
: segmentation sign division one/2 : three
/ division slash division 1/three / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses summate expression inside commencement -3/5 - (-1/4)

The calculator follows well-known rules for the order of operations. The nearly mutual mnemonics for remembering this lodge of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Partition, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Exist careful; e'er practice multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.