Question

Change the decimal to a fraction. Reduce the fraction if possible.

a. 0.578
b. 3.5
c. 2.73
d. 0.4211

Answer 1

0.578=289/500, 3.5= 3 1/2, 2.73= 2 73/100, 0.4211= 4211/10000. Hope this helps :)

Answer 2

For a: The fraction obtained is
`(289)/(50)`

For b: The fraction obtained is
`(7)/(2)`

For c: The fraction obtained is
`(273)/(100)`

For d: The fraction obtained is
`(4211)/(1000)`

Explanation:

Decimal numbers are not considered as integers. They are rounded off to write an integer.

Fraction is present in the form of
`(p)/(q)` where
`q\\eq 0`

To remove decimal, we divide the number by
`10^n` where, n = number of decimal places

For the given options:

• Option a: 0.578

Converting this into fractional form, we get:

`\Rightarrow 0.578=(578)/(100)=(289)/(50)`

The fraction obtained is
`(289)/(50)`

• Option b: 3.5

Converting this into fractional form, we get:

`\Rightarrow 3.5=(3.5)/(10)=(7)/(2)`

The fraction obtained is
`(7)/(2)`

• Option c: 2.73

Converting this into fractional form, we get:

`\Rightarrow 2.73=(273)/(100)`

The fraction obtained is
`(273)/(100)`

• Option d: 0.4211

Converting this into fractional form, we get:

`\Rightarrow 0.4211=(4211)/(1000)=(289)/(50)`

The fraction obtained is
`(4211)/(1000)`