Question

Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9

Answer 1

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be $10^n$, where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

$0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}$

which is irreducible.

Answer 2

Answer:

$x=\frac{48}{90}$

Step-by-step explanation:

0.53, find the simplified fraction

0.53 can be written as $\frac{0.53}{1}$

Here 3 is repeating

$x = 0.533333........$

Multiply by 10

$10x= 5.3333333$

Now we subtract first equation

$10x= 5.3333333$

$x = 0.533333........$

$--------------------------------------$

$9x=4.797...$

$9x=4.8$

Divide by 9 on both sides

$x=\frac{4.8}{9}$

Now multiply top and bottom by 10

$x=\frac{48}{90}$