Multiply fractions: - 20/40 × 32/40 = ? Multiplication result of the ordinary (simple, common) fractions explained

- 20/40 × 32/40 = ?

Reduce (simplify) fractions to their lowest terms equivalents:

Factor all the numbers in order to easily reduce (simplify) the end fraction.

Fraction: 20/40 =


(22 × 5)/(23 × 5) =


((22 × 5) ÷ (22 × 5))/((23 × 5) ÷ (22 × 5)) =


(22 ÷ 22 × 5 ÷ 5)/(23 ÷ 22 × 5 ÷ 5) =


(2(2 - 2) × 1)/(2(3 - 2) × 1) =


(20 × 1)/(2 × 1) =


(1 × 1)/(2 × 1) =


1/2;


Fraction: 32/40 =


25/(23 × 5) =


(25 ÷ 23)/((23 × 5) ÷ 23) =


(25 ÷ 23)/(23 ÷ 23 × 5) =


2(5 - 3)/(2(3 - 3) × 5) =


22/(20 × 5) =


22/(1 × 5) =


4/5;


>> Reduce (simplify) fractions to their simplest form, online calculator


Rewrite the equivalent simplified operation:

- 20/40 × 32/40 =


- 1/2 × 4/5

Multiply the numerators and denominators of the fractions separately:

- 1/2 × 4/5 =


- 4 / (2 × 5) =


- 22 / (2 × 5)

>> Calculate the prime factors of numbers, online calculator


Reduce (simplify) the fraction to its lowest terms equivalent:

Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


gcf(22; 2 × 5) = 2

>> Calculate the greatest common factor, GCF, online calculator


Divide the numerator and denominator by GCF.

- 22 / (2 × 5) =


- (22 ÷ 2) / ((2 × 5) ÷ 2) =


- (22 ÷ 2)/(2 ÷ 2 × 5) =


- 2(2 - 1)/(1 × 5) =


- 21/(1 × 5) =


- 2/(1 × 5) =


- 2/5;

>> Reduce (simplify) fractions to their simplest form, online calculator


Rewrite the fraction

As a decimal number:

- 2/5 =


- 2 ÷ 5 =


- 0.4

As a percentage:

- 0.4 =


- 0.4 × 100/100 =


( - 0.4 × 100)/100 =


- 40/100 =


- 40%

>> Convert fractions to percentages, online calculator


The final answer:
:: written in three ways ::

As a negative proper fraction (numerator < denominator):
- 20/40 × 32/40 = - 2/5

As a decimal number:
- 20/40 × 32/40 = - 0.4

As a percentage:
- 20/40 × 32/40 = - 40%

More operations of this kind:

How to multiply the ordinary fractions:
24/51 × - 36/52


Writing numbers: comma ',' used as a thousands separator; point '.' used as a decimal mark;

Symbols: / fraction bar; ÷ divide; × multiply; + plus; - minus; = equal; ≈ approximation;

Multiply 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:

How to multiply ordinary fractions? Steps.


>> Read the rest of this article, here: How to multiply ordinary (common) fractions?

More on ordinary (common) math fractions theory:

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


(2) Fractions changing form, expand and reduce (simplify) fractions


(3) Reducing fractions. The greatest common factor, GCF


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


(5) Sorting fractions in ascending order


(6) Adding ordinary (common, simple) fractions


(7) Subtracting ordinary (common, simple) fractions


(8) Multiplying ordinary (common, simple) fractions


(9) Fractions, theory: rational numbers