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

Answer:

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)

$0.25 =\frac{0.25}{1}=\frac{0.25\times 100}{100}=\frac{25}{100}=\frac{25\div 25}{100\div 25}=\frac{1}{4}$

b)

$0.08 =\frac{0.08}{1}=\frac{0.08\times 100}{100}=\frac{8}{100}=\frac{8\div 4}{100\div 4}=\frac{2}{25}$

c)

$0.400 =\frac{0.4}{1}=\frac{0.4\times 10}{10}=\frac{4}{10}=\frac{4\div 2}{10\div 2}=\frac{2}{5}$

d)

$1.1 =\frac{1.1}{1}=\frac{1.1\times 10}{10}=\frac{11}{10}$

e)

$3.5 =\frac{3.5}{1}=\frac{3.5\times 10}{10}=\frac{35}{10}=\frac{35\div 5}{10\div 5}=\frac{7}{2}$