Respuesta :

[tex]0.64\to two\ digits\ after\ the\ decimal\ point\ therefore\ are\ hundredths\\\\0.64=\frac{64}{100}=\frac{64:4}{100:4}=\boxed{\frac{16}{25}}[/tex]
Write the decimal number as a fraction
(over 1)
0.64 = 0.64 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator = 0.64 × 10 × 10 = 64

Denominator = 1 × 10 × 10 = 100

Numerator/denominator = 64 / 100

Simplifying our fraction

= 64/100

= 16/25