Multiplying the common ordinary fractions: 53/74 × 71/53 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage

53/74 × 71/53 = ?

These fractions reduce each other:

They have numerators and denominators of equal values.

The fractions: 53/74 × 71/53 = 71/74

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.


71/74 is already reduced to the lowest terms.


The numerator and denominator have no common prime factors.


Their prime factorization:
71 is a prime number (it cannot be factored into other prime factors)
74 = 2 × 37


Rewrite the fraction

As a decimal number:

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


71/74 =


71 ÷ 74 ≈


0.959459459459 ≈


0.96

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.


0.959459459459 =


0.959459459459 × 100/100 =


(0.959459459459 × 100)/100 =


95.945945945946/100


95.945945945946% ≈


95.95%



The final answer:
written in three ways

As a positive proper fraction:
(the numerator < the denominator)
53/74 × 71/53 = 71/74

As a decimal number:
53/74 × 71/53 ≈ 0.96

As a percentage:
53/74 × 71/53 ≈ 95.95%

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

How to multiply the common ordinary fractions:
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Multiply common ordinary fractions, online calculator:

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Multiplying fractions. How to multiply ordinary math fractions? Steps. Example.

How to multiply two fractions?

When we multiply ordinary fractions, the end fraction will have:

  • as a numerator, the result of multiplying all the numerators of the fractions,
  • as a denominator, the result of multiplying all the denominators of the fractions.
  • a/b × c/d = (a × c) / (b × d)
  • a, b, c, d are integer numbers;
  • if the pairs (a × c) and (b × d) are not coprime (they have common prime factors) the end fraction should be reduced (simplified) to lower terms.

How to multiply ordinary fractions? Steps.


Internal link > Read the rest of the article, here: How to multiply common ordinary fractions?

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