"What is 0.365 as a fraction?" was answered by our experts

fanairana7lu1

Answered question

2022-04-16

What is 0.365 as a fraction?

Answer & Explanation

o2z1zsjj0

Beginner2022-04-17Added 10 answers

Step 1
A number abcd.lmnpq... can be expanded as
$a \times 10^{3} + b \times 10^{2} + c \times 10^{1} + d \times \frac{l}{10} + \frac{m}{10^{2}} + \frac{n}{10^{3}} + \frac{p}{10^{4}} + \frac{q}{10^{5}} + \dots$
Hence 0.365 is
$\frac{3}{10} + {\frac{6}{10^{2}}}_{\frac{5}{10^{3}}}$
$= \frac{3}{10} + \frac{6}{100} + \frac{5}{1000}$
$= \frac{3 \times 100}{10 \times 100} + \frac{6 \times 10}{100 \times 10} + \frac{5}{1000}$
$= \frac{300}{1000} + \frac{60}{1000} + \frac{5}{1000}$
$= \frac{365}{1000}$
As numerator and denominator both are divisible by 5, this reduces to
$\frac{73 \times 5}{200 \times 5} = \frac{73 \times 5}{200 \times 5} = \frac{73}{200}$

uvredio0of6

Beginner2022-04-18Added 17 answers

Step 1
By definition decimals are a way of writing fractions which have powers of 10 as the denominator.
One decimal place represents tenths.
Two decimal places represent hundredths.
Three decimal places represent thousandths.

0.365 = \frac{365}{1000}

\frac{365 \div 5}{1000 \div 5} = \frac{73}{200} \leftarrow

simplify

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