Represent these numbers on the number line: (i) 7/4 (ii) 5/6

To represent the fractions 7/4 and 5/6 on a number line, we first need to understand their values.

(i) 7/4:
This fraction is an improper fraction because the numerator (7) is greater than the denominator (4). We can convert it to a mixed number:
7 ÷ 4 = 1 with a remainder of 3. So, 7/4 = 1 3/4.
This means the number is 1 and 3/4 units more than 0.

(ii) 5/6:
This is a proper fraction because the numerator (5) is less than the denominator (6). It's value lies between 0 and 1.
To represent it on the number line, divide the segment between 0 and 1 into 6 equal parts. 5/6 will be the 5th mark from 0.

Number Line Representation:

Draw a number line. Mark 0, 1, 2, etc.

For 7/4 (or 1 3/4):

• Locate 1 on the number line.
• Divide the segment between 1 and 2 into four equal parts.
• 7/4 will be located at the third mark from 1 (since it is 1 and 3/4).

For 5/6:

• Locate 0 and 1 on the number line.
• Divide the segment between 0 and 1 into six equal parts.
• 5/6 will be located at the fifth mark from 0.