Respuesta :

It would be less because any number, no matter big or small multiplied by a fraction is always less than that number.

Answer:

Yes, it is correct.

Step-by-step explanation:

When we multiply a positive real number by a positive real number less than 1,

Then the value of the original number is always decreased,

Here, [tex]\frac{7}{8}> 0[/tex]

Also, [tex]\frac{3}{4}<1[/tex]

Thus, by the above statement,

[tex]\frac{3}{4}\times \frac{7}{8} < \frac{7}{8}[/tex]

Verification :

[tex]\frac{7}{8}=0.875[/tex]

Since, the product of [tex]\frac{3}{4}[/tex] and [tex]\frac{7}{8}[/tex] is,

[tex]\frac{3}{4}\times \frac{7}{8}[/tex]

[tex]=\frac{21}{32}[/tex]

= 0.65625 < 0.875

[tex]\implies \frac{3}{4}\times \frac{7}{8} < \frac{7}{8}[/tex]

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