Multiplying the common ordinary fractions: 3/8 × 12/12 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage

3/8 × 12/12 = ?

Simplify the operation

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

There are numerators and denominators of equal values.

The fraction: 12/12 = 1

Rewrite the equivalent simplified operation:

Multiplying by 1 does not change the result of the operation. .

3/8 × 12/12 =

3/8 × 1 =


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.

* Why do we try to reduce (simplify) the fractions?

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.

3/8 is already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:
3 is a prime number (it cannot be factored into other prime factors)
8 = 23

Rewrite the fraction

As a decimal number:

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

3/8 =

3 ÷ 8 =

0.375 ≈


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.

0.375 =

0.375 × 100/100 =

(0.375 × 100)/100 =

37.5/100 =


The final answer:
written in three ways

As a positive proper fraction:
(the numerator < the denominator)
3/8 × 12/12 = 3/8

As a decimal number:
3/8 × 12/12 ≈ 0.38

As a percentage:
3/8 × 12/12 = 37.5%

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.

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

How to multiply ordinary fractions? Steps.

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

More on ordinary (common) fractions / theory:

(1) What is a fraction? Fractions types. How do they compare?

(2) Changing the form of fractions, by expanding or reducing (simplifying)

(3) How to reduce fractions (simplifying). The greatest common factor, GCF

(4) How to compare two fractions with unlike (different) numerators and denominators

(5) How to sort out fractions in ascending order

(6) Adding common (ordinary) fractions

(7) Subtracting common (ordinary) fractions

(8) Multiplying common (ordinary) fractions

(9) Fractions as rational numbers