Question

the ratio of 87:58 in its simplest form
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Answer 1

Answer:

$\boxed{\bf{\greeb{3:2}}}$

Step-by-step explanation:

87 : 58 is the given ratio .

We know that 87 = 29 × 3 .

We also know that 58 = 29 × 2 .

Hence the ratio of 87 : 58 can be written as :

( 29 × 3 ) : ( 29 × 2 )

⇒ 3 : 2

A ratio can be written as a/b if a : b .

Some common properties of ratio are :

⇒ They are always positive .

⇒ They do not have any units .

⇒ They are a comparison of similar quantities .

⇒ They have the properties of componendo , dividendo , alternendo , invertendo , etc .

Answer 2

ANSWER

$\dfrac{3}{2}$

Step by step explanation

The equation is $\dfrac{87}{68}$

Now to convert this ratio to simplest form i.e the form in which the fraction will have no factor in common other than 1 or we can say that they will become CO-PRIMES.

Now, we have-->

$\dfrac{87}{68}$

On doing prime factorization of 87 and 68 we get=>

87 = 29×3

68=29×2

So, HCF(87,68)=29

On dividing the numerator and denominator by 29 we get =>

$\dfrac{3}{2}$

HENCE THE SIMPLEST FIRM OR FORM OF RATIO IS $\dfrac{3}{2}$.

REMEMBER

1)The ratio of any two numbers is the quantitative relation between two amounts or numbers.

2)It is represented in the form of $\dfrac{p}{q}$ or p:q.