Express 3.72727272727... as a rational number, in the form pq
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14
Heya!!
Here is your answer:-
What are rational numbers?
=> Rational numbers are those real numbers that can be expressed in the form of p/q where q ≠ 0 , and p and q are co-prime integers.
Let's solve it.
Let x=3.72 bar over 72 €
Multiplying by 100 on both sides of this equation , we get:-
100x = 372.72 bar over 72 ¥
Now we have to subtract equation ¥-€
We get:-
99x = 369 @
The decimal's recurring part has been cancelled out.
Now we have to solve @ for x.
99x =369
x =369/99
After bringing it in lowest terms we get:-
x= 41/11
So we have expressed it in the form of p/q where q ≠0 and p and q are co-prime integers
Hope it helps you.
Here is your answer:-
What are rational numbers?
=> Rational numbers are those real numbers that can be expressed in the form of p/q where q ≠ 0 , and p and q are co-prime integers.
Let's solve it.
Let x=3.72 bar over 72 €
Multiplying by 100 on both sides of this equation , we get:-
100x = 372.72 bar over 72 ¥
Now we have to subtract equation ¥-€
We get:-
99x = 369 @
The decimal's recurring part has been cancelled out.
Now we have to solve @ for x.
99x =369
x =369/99
After bringing it in lowest terms we get:-
x= 41/11
So we have expressed it in the form of p/q where q ≠0 and p and q are co-prime integers
Hope it helps you.
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0
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