Question

5. a. How many groups of 1/3
inch are in 3/4 inch

Answer 1

Number of groups = 2

Explanation:

Given:

Number of inches in each group =
`(1)/(3)`

Number of groups = 'x'

Total inches =
`(3)/(4)`

Formula to calculate the number of quantities when the total value of the quantity and number per quantity is given is:

`\textrm{Number of quantities}=\frac{\textrm{Given value}}{\textrm{Value in each quantity}}`

Here, number of groups is given as:

`\textrm{Number of groups}=\frac{\textrm{Total inches}}{\textrm{Value in each group}}`

`x=(3)/(4)/ (1)/(3)\\\\x=(3)/(4)* (3)/(1)\\\\x=(9)/(4)=2.25\approx 2`

As number can't be in fractions so the number of groups is 2.