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Answers
11] 1/5+5/3
12] -2/5
13] 0.44444...
14] A number written in p/q form is called rational number
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Answer:
Your answers along with an explanation for question is given below:
Step-by-step explanation:
11. Firstly, we will add up all the fractions with the same denominator. Such as:
3/5 + (-2/5) + 7/3 + (-2/3)
1/5 + 5/3
Now, we will convert the denominators to the same value. Such as:
1/5 x 3/3 = 3/15
and
5/3 x 5/5 = 25/15
Now, we can add the numbers to get the answer. Such as:
25/15 + 3/15 = 28/15 = (1) 13/15 (mixed fraction)
12. -2/5 (commutative property)
13. Firstly, reciprocal -9/2 and 5/18. Such as:
-9/2 = (-2/9)
and
5/18 = 18/5
Now, we multiply to get the answer.
-2/9 x 18/5 = (-36)/45
14. Rational numbers are numbers where the it is written in the form of p/q and q is a non-zero number. Every number is a Rational number.
For example, 4 is a rational number because 4 can be written as 4/1 and 1 is a non-zero number.
15. Let the number be x
and the denominator of 8 be 1
x + (-5)/6 = 8/1
x = 8/1 - (-5)/6
Converting the denominators to the same value, We have:
8/1 x 6/6 = 48/6
and
(-5)/6 x 1/1 = (-5)/6
So, the equation becomes:
x = 48/6 - (-5)/6
x = 53/6 = (8) 5/6
Hope it helps you!