Fraction calculator

This calculator multiply fractions. Only multiplies all numerators and identify the outcome over the production of all denominators. And then simplify the issue to the lowest terms or a mixed number.

The result:

7/8 * 3/9 = 7 / 24 ≅ 0.2916667

Spelled result in words is seven twenty-fourths.

How do we solve fractions step by footstep?

  1. Multiple: vii / 8 * 3 / 9 = seven · 3 / 8 · 9 = 21 / 72 = seven · three / 24 · 3 = 7 / 24
    Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 72) = three. In the following intermediate step, abolish by a common cistron of iii gives seven / 24 .
    In other words - 7 eighths multiplied by three ninths is seven twenty-fourths.

Rules for expressions with fractions:

Fractions - utilize a frontwards slash to dissever the numerator by the denominator, i.e., for v-hundredths, enter 5/100. If you apply mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and employ a frontwards slash to input fractions i.e., i 2/3 . An instance of a negative mixed fraction: -five i/2.
Because slash is both signs for fraction line and sectionalisation, utilise a colon (:) as the operator of partition fractions i.e., 1/ii : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.eastward. 1.45.

Math Symbols


Symbol Symbol name Symbol Significant Instance
+ plus sign add-on 1/2 + 1/3
- minus sign subtraction ane 1/2 - 2/3
* asterisk multiplication 2/3 * three/four
× times sign multiplication ii/3 × v/6
: division sign division 1/ii : 3
/ sectionalization slash division 1/3 / 5
: colon circuitous fraction i/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -three/5 - (-1/four)

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this lodge of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Improver, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the club of operations part of the PEMDAS rule.
Be conscientious; always do multiplication and segmentation before addition and subtraction. Some operators (+ and -) and (* and /) take the same priority and must evaluate from left to correct.