Question

Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y

Answer 1

Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

$\frac{4}{5}\:\times \:1\frac{2}{5}\:=y$

solving to determine the product value

$y=\:\frac{4}{5}\times \:\:1\frac{2}{5}$

  $=\frac{4}{5}\times \frac{7}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

  $=\frac{4\times \:7}{5\times \:5}$

  $=\frac{28}{5\times \:5}$

  $=\frac{28}{25}$

As the value of the second factor is:

$1\frac{2}{5}=\frac{7}{5}=1.4$

And the product value is:

$y=\frac{28}{25}=1.12$

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.