Question

Write 0.0155 as a fraction in simplest form. a. b. c. d.

Answer 1

To solve this we start by writing the decimal divided by 1 like this:

$\frac{0.0155}{1}$

then we multiply the numerator and denominator bye the same number. This number in order to get the fraction must be one 10 for each number after the decimal point, in this case we have 4 numbers so it would be 10 four times like this:

$\frac{0.0155}{1}.\frac{10*10*10*10}{10*10*10*10} =\frac{155}{10000}$

the numerator and denominator are both mulptiples of 5 (multiples of five end in 0 or 5) we can divide them to simplify the fraction to its simplest form like this:

$\frac{\frac{155}{10000}}{5} =\frac{\frac{155}{5} }{\frac{10000}{5} } =\frac{31}{2000}$

Answer 2

155/10000 = 5×31/5×2000 = 31/2000