Question

An equivalent rational number for 80/100 is
a) 8/16
b) 32/40
c) 40/32
d) 40/55​

Answer 1

Answer:

b. will be the answer. . .

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

An equivalent rational number for 80/100 is

a) 8/16

b) 32/40

c) 40/32

d) 40/55

EVALUATION

Here the given rational number is

$\displaystyle \sf{ \frac{80}{100} }$

Numerator = 80

Denominator = 100

We now find the common factor between 80 and 100

80 = 2 × 2 × 2 × 2 × 5

100 = 2 × 2 × 5 × 5

So HCF = 2 × 2 × 5 = 20

Now

$\displaystyle \sf{ \frac{80}{100} }$

Dividing both of the numerator and denominator by 20 we get

$\displaystyle \sf{ \frac{80}{100} }$

$\displaystyle \sf{ = \frac{4}{5} }$

Multiplying both of the numerator and denominator by 8 we get

$\displaystyle \sf{ = \frac{4 \times 8}{5 \times 8} }$

$\displaystyle \sf{ = \frac{32}{40} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{ b) \: \: \: \frac{32}{40} }$

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