Fraction calculator

This calculator adds two fractions. When fractions have the same denominators figurer simply adds the numerators and place the issue over the common denominator. And so simplify the result to the everyman terms or a mixed number.

The result:

2/iv + 3/4 = v / four = one ane / 4 = ane.25

Spelled result in words is five quarters (or ane and one quarter).

How do nosotros solve fractions pace by pace?

  1. Add: 2 / four + 3 / 4 = 2 + three / 4 = v / four
    It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparison fractions. The common denominator you tin summate as the to the lowest degree mutual multiple of both denominators - LCM(four, 4) = 4. In practise, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: iv × 4 = 16. In the following intermediate step, information technology cannot further simplify the fraction result by canceling.
    In other words - ii quarters plus three quarters is five quarters.

Rules for expressions with fractions:

Fractions - utilize a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter five/100. If yous utilise mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on 1 space betwixt the integer and
fraction and utilise a forward slash to input fractions i.due east., 1 2/3 . An instance of a negative mixed fraction: -v ane/2.
Because slash is both signs for fraction line and sectionalisation, utilize a colon (:) equally the operator of division fractions i.e., 1/2 : ane/three.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign add-on 1/2 + 1/3
- minus sign subtraction ane i/two - 2/3
* asterisk multiplication two/iii * iii/4
× times sign multiplication 2/iii × five/six
: partitioning sign sectionalisation ane/two : 3
/ division slash partition i/3 / v
: colon complex fraction 1/two : 1/iii
^ caret exponentiation / power i/four^3
() parentheses calculate expression inside first -iii/v - (-1/4)

The calculator follows well-known rules for the club of operations. The virtually common mnemonics for remembering this guild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Guild, Division, Multiplication, Addition, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Partition, Improver, Subtraction.
MDAS - Multiplication and Division accept 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 segmentation before add-on and subtraction. Some operators (+ and -) and (* and /) accept the same priority and must evaluate from left to right.