Question

Express the time spent to daily life activities during holidays as a fraction of whole day 1. Represent the fractions in pictorial form. 2. Write the fractions in simplest form. 3. Arrange them in ascending order.

Answer 1

(II). The fractions in simplest form

`(31)/(35)`,
`(91)/(165)` and
`(13)/(5)`

(III). The fractions in ascending order

`(91)/(165)<(31)/(35)<(13)/(5)`

Step-by-step explanation:

Given that,

(I). Represent the fractions in pictorial form

(II). Write the fractions in simplest form.

(III). Arrange them in ascending order.

Suppose, The fractions in pictorial form

(a).
`(3)/(5)+(2)/(7)`

(b).
`(9)/(11)-(4)/(15)`

(c).
`(7)/(10)+(2)/(5)+(3)/(2)`

We need to write in simplest form

Using given fraction

(a).
`(3)/(5)+(2)/(7)=(3*7)/(5*7)+(2*5)/(7*5)`

`(3)/(5)+(2)/(7)=(21)/(35)+(10)/(35)`

`(3)/(5)+(2)/(7)=(21+10)/(35)`

`(3)/(5)+(2)/(7)=(31)/(35)`

(b).
`(9)/(11)-(4)/(15)=(9*15)/(11*15)-(4*11)/(15*11)`

`(9)/(11)-(4)/(15)=(135-44)/(165)`

`(9)/(11)-(4)/(15)=(91)/(165)`

(c).
`(7)/(10)+(2)/(5)+(3)/(2)=(7)/(10)+(2*2)/(5*2)+(3*5)/(5*2)`

`(7)/(10)+(2)/(5)+(3)/(2)=(7)/(10)+(4+15)/(10)`

`(7)/(10)+(2)/(5)+(3)/(2)=(7+4+15)/(10)`

`(7)/(10)+(2)/(5)+(3)/(2)=(26)/(10)`

`(7)/(10)+(2)/(5)+(3)/(2)=(13)/(5)`

We need to arrange them in ascending order

Using simplest form

The simplest fraction in ascending order

`(91)/(165)<(31)/(35)<(13)/(5)`

Hence, This is required solution.