Question

Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.

Answer 1

To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.

Step-by-step explanation:

Partitioning a Number Line into Fourths and Decomposing Fractions

To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.

Step-by-Step Solution

Draw a number line from 0 to 1.

Mark off four equal lengths between 0 and 1, each representing 1/4.

Find 3/4 on the number line. It is three of these fourths.

Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.

Mark these new lengths on the number line, showing that each length is 1/8.

Answer 2

Step 1
Partition a number line from 0 to 1 into fourths
1 into fourths--------> 1/4
(0)----------------(1/4)----------------(2/4)---------------(3/4)---------------(4/4)
(0)---------------------------------------------------------------------------------(1)


Step 2
Decompose 3/4 into 6 equal lengths

Note that in the previous graph the number 3/4 is divided into 3 equal parts. so to divide it into 6 equal parts we will divide the space of 1/4 between 2 to obtain spaces of 1/8

(0)----------------(1/4)----------------(2/4)---------------(3/4)----------------(4/4)
(0)-----(1/8)-----(2/8)-----(3/8)-----(4/8)-----(5/8)----(6/8)-----(7/8)----(8/8)