Question

Plz help me i have 3 questions this is the first one! >>Arnold had three pieces of diffrent colored strings that are all the same length. Arnold cut the blue string into 2 equal size lengths. He cut the red string into 3 equal size lengths and the green string into 6 equal size lengths. He needs to cut the strings so each color has the same number of equal size lengths.What is the least number of equal sized lengths each color string could have? Question 2 One tray of granola bars was cut into 4 equal sized pieces.a second tray was cut into 12 equal sized pieces, and a third was cut into 8 equal sized pieces. Jan wants to continue cutting until all three trays have the same number of pieces. How many pieces will there be on each tray? Question 3: Mr nickelson tells the class that they double the least common denominator for 1/2,3/5 and 9/15 to find the number of the day. What number is the number of the day? PLZ HELP

Answer 1

15

Explanation:

Step 1:

The least common denominator of 3, 5, and 15 is equal to the least number of equal-sized lengths each color string could have.

List the nonzero multiples of each number.

3: 3, 6, 9, 12, 15, 18, 21...

Step 2:

5: 5, 10, 15, 20, 25, 30, 35...

Step 3 out of 3:

15: 15,

30

, 45, 60...

The least common denominator is

15

So everyone please stop saying 6, 6 is incorrect.

The Answer is 15

Answer 2

Question 1:
think about which one Arnold has already cut the most.... he cut the green string into 6 equal size lengths. the blue he cut into 2 and the red he cut into 3 and both of those can go into 6 so six is the answer.
Question2:
same concept as question one. You're learning the basics to fractions, or division. what is the largest amount a gronola bar is cut into..... 12 pieces. But 8 doesn't divide into 12 does it so what can 12 multiply into that 8 does also..... 12x2=24 and 8x3=24 also. 4x6=24 too therefore the smallest number of equal size pieces each tray can have is 24 pieces.
Question 3:
least common denominator means the bottom number in each fraction is multiplied into the smallest number all the bottom numbers can equal. 1/2, 3/5, and 9/15... what number can 2, 5, and 15 all be multiplied into. look at the biggest number 15 it is not divisable by 2 so multiply it by 2 15x2=30. 30 is divisable by 2 and by 5 so it is the least common denominator. so double it 30x2=60.