Question

Brian has a math quiz every six days and a science quiz every four days on February 15 he had both tests when will he have both tests again on the same day

Answer 1

Answer:

27th February is answer .

Step-by-step explanation:

Brain has math test  = after every six days

His Science test =  after every  four days

Next common multiplier will be chosen by   taking their Least common multiplier is  

6  = 2x3

4 = 2x2

LCM = 2 x  2 x 3  = 12

After every 12 days Brain will have both test of Math and Science

If first test was on 15th Feb then next both test will be

     15th + 12th = 27th February

Next date for both test will be 27th February.

Answer 2

A common denominator of 6 and 4 is 12. That is the Least Common Denominator, the LCD. In 12 days it would be the 27th of February. There you go.