express 0.325bar in the form of p/q
Answers
Answer:
0.325 expressed in form of p/q is \frac{13}{4}
4
13
Solution:
We have to express 0.325 in the form of p/q
p/q is simplest ratio in which the number can be expressed
A rational number can be expressed as the quotient or fraction p/q of two integers, numerator p and non-zero denominator q
In 0.325, there are 3 numbers after the decimal so we can write 0.325 in following way:
0.325=\frac{325}{100}0.325=
100
325
On reducing to lowest terms:
Cancel the common factors of numerator and denominator
\frac{325}{100}=\frac{65}{20}=\frac{13}{4}
100
325
=
20
65
=
4
13
\frac{13}{4}
4
13
cannot be simplified more and it is of the form \frac{p}{q}
q
p
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