Question

Convert these decimals into fractions and simplify as much as possible: a) 0.25 b) 0.08 C) 0.400 d) 1.1 e) 3.5

Answer 1

When we change a decimal into fraction, then we follow the following steps,

Step 1 : first we write the decimal number with the denominator 1,

Step 2 : Multiply numerator by 10s ( eg 10, 100, 100 etc ) for omitting decimal.

Step 3 : Multiply the denominator ( i.e 1 ) by the same number,

Step 4 : Reduce the fraction in the simplest form if possible by dividing both numerator and denominator by the HCF of numerator and denominator.

a)

`0.25 =(0.25)/(1)=(0.25* 100)/(100)=(25)/(100)=(25/ 25)/(100/ 25)=(1)/(4)`

b)

`0.08 =(0.08)/(1)=(0.08* 100)/(100)=(8)/(100)=(8/ 4)/(100/ 4)=(2)/(25)`

c)

`0.400 =(0.4)/(1)=(0.4* 10)/(10)=(4)/(10)=(4/ 2)/(10/ 2)=(2)/(5)`

d)

`1.1 =(1.1)/(1)=(1.1* 10)/(10)=(11)/(10)`

e)

`3.5 =(3.5)/(1)=(3.5* 10)/(10)=(35)/(10)=(35/ 5)/(10/ 5)=(7)/(2)`