Question

$\text{Simplify:}\frac{3}{14}\times \frac{48}{32}\times \frac{28}{15}\times \frac{40}{24}$

• A. 1

Answer 1

The correct option is A 1
$\text{Given:}\frac{3}{14}\times \frac{48}{32}\times \frac{28}{15}\times \frac{40}{24}$

We know that, by commutativity,
$a\times b=b\times a.$

On applying this property to the second and third terms, we get
$\frac{3}{14}\times \frac{28}{15}\times \frac{48}{32}\times \frac{40}{24}$

On grouping the terms, we get
$(\frac{3}{14}\times \frac{28}{15})\times (\frac{48}{32}\times \frac{40}{24})$

On simplifying the grouped terms, we get,
$\Rightarrow \frac{4}{10}\times \frac{10}{4}\Rightarrow 1$