147/81 × - 282/98 = ? Multiply the Common (Ordinary) Fractions, Online Calculator. Multiplication Operation Explained Step by Step

The numerators and the denominators of the fractions are multiplied separately

Simplify the operation

Rewrite the equivalent simplified operation:

Combine the signs of the fractions into a single one, placed in front of the expression. If the sign is + then it is usually not written.


The sign of a multiplication operation:


+ 1 × + 1 = + 1

+ 1 × - 1 = - 1

- 1 × - 1 = + 1


147/81 × - 282/98 =


- 147/81 × 282/98

Simplify the operation

Reduce (simplify) the fractions to their lowest terms equivalents:

To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.


* By reducing the values of the numerators and the denominators of the fractions the calculations are easier to make.


A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.


* In order to easily reduce a fraction, factor its numerator and denominator. This way all the common prime factors are easily identified and crossed out, without calculating the GCF.


147/81 =


(3 × 72)/34 =


((3 × 72) ÷ 3)/(34 ÷ 3) =


(3 ÷ 3 × 72)/(34 ÷ 3) =


(1 × 72)/3(4 - 1) =


(1 × 72)/33 =


49/27


282/98 =


(2 × 3 × 47)/(2 × 72) =


((2 × 3 × 47) ÷ 2)/((2 × 72) ÷ 2) =


(2 ÷ 2 × 3 × 47)/(2 ÷ 2 × 72) =


(1 × 3 × 47)/(1 × 72) =


141/49



Rewrite the equivalent simplified operation:

- 147/81 × 282/98 =


- 49/27 × 141/49

These fractions reduce each other:

They have numerators and denominators of equal values.

The fractions: 49/27 × 141/49 = 141/27

Rewrite the equivalent simplified operation:

- 49/27 × 141/49 =


- 141/27

Simplify the operation

Reduce (simplify) the new fractions to their lowest terms equivalents:

To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.


* In order to easily reduce a fraction, factor its numerator and denominator. This way all the common prime factors are easily identified and crossed out, without calculating the GCF.


141/27 =


(3 × 47)/33 =


((3 × 47) ÷ 3)/(33 ÷ 3) =


(3 ÷ 3 × 47)/(33 ÷ 3) =


(1 × 47)/3(3 - 1) =


(1 × 47)/32 =


47/9



Rewrite the equivalent simplified operation:

- 141/27 =


- 47/9

Rewrite the fraction

As a mixed number (also called a mixed fraction):

A mixed number: a whole number and a proper fraction, both having the same sign.


A proper fraction: the value of the numerator is smaller than the value of the denominator.


Divide the numerator by the denominator and write down the quotient and the remainder of the division, as shown below:


- 47 ÷ 9 = - 5 and the remainder = - 2 ⇒


- 47 = - 5 × 9 - 2 ⇒


- 47/9 =


( - 5 × 9 - 2)/9 =


( - 5 × 9)/9 - 2/9 =


- 5 - 2/9 =


- 5 2/9

As a decimal number:

Simply divide the numerator by the denominator, without a remainder, as shown below:


- 5 - 2/9 =


- 5 - 2 ÷ 9 ≈


- 5.222222222222 ≈


- 5.22

As a percentage:

A percentage value p% is equal to the fraction: p/100, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.


To do that, multiply the number by the fraction 100/100.


The value of the fraction 100/100 = 1, so by multiplying the number by this fraction the result is not changing, only the form.


- 5.222222222222 =


- 5.222222222222 × 100/100 =


( - 5.222222222222 × 100)/100 =


- 522.222222222222/100


- 522.222222222222% ≈


- 522.22%


The final answer:
written in four ways

As a negative improper fraction:
(the numerator >= the denominator)
147/81 × - 282/98 = - 47/9

As a mixed number (also called a mixed fraction):
147/81 × - 282/98 = - 5 2/9

As a decimal number:
147/81 × - 282/98 ≈ - 5.22

As a percentage:
147/81 × - 282/98 ≈ - 522.22%

How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.

Other similar operations

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157/89 × 290/100

Multiply common ordinary fractions, online calculator:

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