Draw 3/4 and 2/2 on number line

Answer: On the number line divided into 4 equal parts between 0 and 1, 34\frac{3}{4} is at the 3rd division point and 22\frac{2}{2} is at 1 (the 4th division point).

Step-by-step solution

Step 1: Analyze the Given Fractions

We are given two fractions: 34\frac{3}{4} and 22\frac{2}{2}. Notice that 34\frac{3}{4} lies between 00 and 11, while 22\frac{2}{2} is an improper fraction equal to the whole number 11. Both values lie in the interval from 00 to 11.

Step 2: Divide the Unit Segment into Equal Parts

To represent 34\frac{3}{4}, we need a denominator of 44. We divide the unit distance between 00 and 11 into 44 equal parts. Each part has a length of 14\frac{1}{4}. The partition marks represent 14\frac{1}{4}, 24\frac{2}{4}, 34\frac{3}{4}, and 44=1\frac{4}{4} = 1.

Step 3: Plot 3/4 and 2/2 on the Number Line

Starting from 00, move 33 units of size 14\frac{1}{4} to the right to mark 34\frac{3}{4} at the third division mark. For 22\frac{2}{2}, observe that 22=1\frac{2}{2} = 1, which is the whole number 11, located exactly at the fourth mark of length 44\frac{4}{4}.

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