Mia has a rectangle cloth
she dips 5/8 of it in blue dye
she dips 9/20 in yellow
the part of the cloth that is dipped in both colours turns green.
work out the fraction of cloth that turns green.
plz show working

Fraction of cloth that turns green =  

Step-by-step explanation:

Let total cloth be of length = 1 unit

Given of it is dipped in blue dye.

Fraction which is not dipped in blue is given as:

⇒

Taking LCD to subtract fractions.

⇒

⇒

She dips in yellow.

Comparing the fraction dipped in yellow which is and fraction which is not dipped in blue i.e.

Taking LCD between 8 and 20 = 40

We have:

Thus, we can say  

Since , so the part dipped in yellow will also cover some part which is blue.

Thus, fraction dipped in yellow and blue which turns green will be given as:

⇒

Subtracting by taking LCD =40.

⇒

⇒

⇒  (Answer)