Fraction estimator

This computer divides fractions. The first step makes the reciprocal value of the second fraction - exchange numerator and denominator of 2nd fraction. Then multiply both numerators and place the result over the production of both denominators. Then simplify the result to the lowest terms or a mixed number.

The consequence:

5/8/iii/4 = 5 / 96 ≅ 0.05208333

Spelled result in words is five ninety-sixths.

How do we solve fractions step by footstep?

  1. Divide: v / viii : 3 = v / 8 · 1 / 3 = five · 1 / eight · 3 = 5 / 24
    Dividing two fractions is the aforementioned as multiplying the offset fraction by the reciprocal value of the second fraction. The commencement sub-pace is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3 / 1 is i / three ) of the second fraction. Next, multiply the two numerators. Then, multiply the 2 denominators. In the post-obit intermediate step, it cannot farther simplify the fraction result by canceling.
    In other words - five eighths divided by iii is five twenty-fourths.
  2. Divide: the consequence of step No. ane : 4 = 5 / 24 : 4 = 5 / 24 · 1 / 4 = 5 · ane / 24 · 4 = 5 / 96
    Dividing 2 fractions is the aforementioned equally multiplying the first fraction by the reciprocal value of the second fraction. The start sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4 / ane is ane / four ) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
    In other words - five xx-fourths divided by 4 is five xc-sixths.

Rules for expressions with fractions:

Fractions - apply a forward slash to carve up the numerator past the denominator, i.e., for five-hundredths, enter v/100. If you use mixed numbers, go out a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forwards slash to input fractions i.e., 1 2/three . An instance of a negative mixed fraction: -5 1/two.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of sectionalisation fractions i.eastward., i/ii : ane/iii.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. i.45.

Math Symbols


Symbol Symbol proper noun Symbol Meaning Example
+ plus sign addition i/2 + 1/iii
- minus sign subtraction i 1/2 - 2/3
* asterisk multiplication 2/3 * iii/four
× times sign multiplication 2/3 × 5/6
: partitioning sign sectionalization 1/ii : 3
/ division slash division one/3 / 5
: colon complex fraction 1/2 : one/3
^ caret exponentiation / power 1/4^iii
() parentheses calculate expression inside kickoff -three/5 - (-i/iv)

The reckoner follows well-known rules for the club of operations. The most common mnemonics for remembering this gild of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Sectionalization, Multiplication, Add-on, Subtraction
BODMAS - Brackets, Of or Guild, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the guild of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to correct.