the rational form of 0.325... is in the form lf p/q then q-p a 640 b 650 c 668 d 670
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
Learn more about p/q form:
Express 0.035bar in p/q form
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Express 5.2 in the form of p/q where p and q are in integers and q is not equal to 0
Step-by-step explanation:
hope it is uself
Answer:
0.325 in form of \frac{p}{q}
q
p
is \frac{13}{40}
40
13
.
Step-by-step explanation:
Given:
Suppose x = 0.325 [1]
On multiplying both sides of Eq (1) by 10, we get
10x = 3.25 [2]
On multiplying both sides of Eq (2) by 100, we get
100x = 32.5 [3]
On multiplying both sides of Eq (3) by 1000, we get
1000x = 325
x=\frac{325}{1000}x=
1000
325
x=\frac{13}{40}x=
40
13
Therefore 0.325 in form of \frac{p}{q}
q
p
is \frac{13}{40}
40
13
.