Fraction calculator

This calculator adds ii fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Find Least Common Denominator (LCD) or uncomplicated multiply all denominators to find common denominator. When all denominators are same, simply add the numerators and place the issue over the mutual denominator. And then simplify the result to the lowest terms or a mixed number.

The result:

5/8 + iii/iv = 11 / 8 = 1 3 / 8 = 1.375

Spelled result in words is xi eighths (or one and three eighths).

How practice nosotros solve fractions step by pace?

  1. Add: five / 8 + iii / 4 = v / viii + three · ii / four · 2 = five / 8 + six / 8 = five + 6 / viii = eleven / eight
    It is suitable to adapt both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The mutual denominator yous can calculate as the least common multiple of both denominators - LCM(viii, iv) = 8. In exercise, it is plenty to find the common denominator (non necessarily the lowest) by multiplying the denominators: 8 × four = 32. In the following intermediate step, information technology cannot further simplify the fraction consequence by canceling.
    In other words - v eighths plus three quarters is 11 eighths.

Rules for expressions with fractions:

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

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An instance of a negative mixed fraction: -5 ane/2.
Considering slash is both signs for fraction line and division, use a colon (:) every bit the operator of sectionalization fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal signal . and they are automatically converted to fractions - i.eastward. 1.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Case
+ plus sign addition 1/2 + i/3
- minus sign subtraction 1 one/2 - two/3
* asterisk multiplication two/3 * 3/four
× times sign multiplication 2/3 × 5/6
: partition sign division 1/2 : 3
/ division slash division 1/3 / five
: colon complex fraction one/ii : 1/3
^ caret exponentiation / power ane/4^3
() parentheses summate expression inside first -3/v - (-1/four)

The calculator follows well-known rules for the social club of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Partitioning, 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, Add-on, Subtraction.
MDAS - Multiplication and Sectionalization have the same precedence over Addition and Subtraction. The MDAS dominion is the social club of operations office of the PEMDAS rule.
Be careful; always do multiplication and division earlier addition and subtraction. Some operators (+ and -) and (* and /) take the same priority and must evaluate from left to right.