Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 5 not yet answered marked out of 1.0 flag question write 0.180…

Question

question 5
not yet
answered
marked out of
1.0
flag
question
write 0.180 as a fraction in simplest form.
select one:
a.
$\frac{1}{5}$
b.
$\frac{7}{50}$
c.
$\frac{4}{25}$
d.
$\frac{9}{50}$

Explanation:

Step1: Convert decimal to fraction

0.180 can be written as $\frac{0.180}{1}$. Multiply numerator and denominator by 1000 to eliminate decimals: $\frac{0.180\times1000}{1\times1000}=\frac{180}{1000}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 180 and 1000. The GCD of 180 and 1000 is 20. Divide numerator and denominator by 20: $\frac{180\div20}{1000\div20}=\frac{9}{50}$.

Answer:

d. $\frac{9}{50}$