The product of 3/4 and 7/8 is less than 7/8
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, \(\frac{7}{8}> 0\)
Also, \(\frac{3}{4}<1\)
Thus, by the above statement,
\(\frac{3}{4}\times \frac{7}{8} < \frac{7}{8}\)
Verification :
\(\frac{7}{8}=0.875\)
Since, the product of \(\frac{3}{4}\) and \(\frac{7}{8}\) is,
\(\frac{3}{4}\times \frac{7}{8}\)
\(=\frac{21}{32}\)
= 0.65625 < 0.875
\(\implies \frac{3}{4}\times \frac{7}{8} < \frac{7}{8}\)