Question

convert 8/3:5/4 into simplest form​

Answer 1

SOLUTION

TO DETERMINE

Convert into simplest form

$\displaystyle \sf{ \frac{8}{3} : \frac{5}{4} }$

CONCEPT TO BE IMPLEMENTED

Ratio :

Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

EVALUATION

Here the given ratio is

$\displaystyle \sf{ \frac{8}{3} : \frac{5}{4} }$

Denominators of the fractions are 3 , 4

LCM of the denominators

= 3 × 4

= 12

$\displaystyle \sf{ \frac{8}{3} : \frac{5}{4} }$

$\displaystyle \sf{ = \bigg(\frac{8 }{3} \times 12 \bigg) :\bigg( \frac{5}{4} \times 12 \bigg) }$

$\displaystyle \sf{ = 32 :15 }$

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Answer 2

Answer:

the simplest form of 8/3:5/4 is

8/3:5/4

8/3/5/4

8/3×4/5

32/15

32:15ans...