Question

In its simplest form work out 5/14 x 7/30

Answer 1

`\boxed{(1)/(12)}`

Explanation:

The multiplication of fractions satisfies the following rule:

`\displaystyle{(a)/(b)*(c)/(d)=(a* c)/(b* d)`

applied to our exercise, it looks like this

`\displaystyle{(5)/(14)*(7)/(30)=(5* 7)/(14* 30)`

also, we can "decompose" denominator numbers as follows:

`14=7*2`

`30=5*6`

Therefore:

`\displaystyle\frac{\\ot{5}* \\ot{7}}{2 * \\ot{7}* \\ot{5}* 6}= (1)/(12)`

In this way, only one multiplication was necessary.

`\text{-B$\mathfrak{randon}$VN}`