• # Find which fraction of month was dry in June.

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In June last year there were 8 rainy days. What fraction of the month was dry?
What is the answer to the above specified word problem?
Also give a short note about the identity elements in the case addition and multiplication of rational numbers.
Experts: do assist.
• Given that there are 8 rainy days in June.
Total number of days in June= 30
Assume dry days in the month June is n
Therefore,
n + 8 = 30
n = 30 _ 8 = 22
Therefore total number of dry days in the month June gives the fraction 22/30= 11/15.

Identity element in case of addition:
Zero is called the identity for the addition of rational numbers. This identity element zero is applicable for integers, rational numbers and whole numbers.
E.g.
2 + 0 = 0 + 2 = 0 (addition of identity element zero to a whole number 2)
( _7 )+ 0 = 0 + ( _7) = ( _7) (addition of identity element zero to an integer _7)
(2/9) + 0 = 0 + (2/9) = 2/9 (addition of identity element zero to a rational number 2/9)

Identity element in case of multiplication:
1 is the identity element for the operation multiplication. This multiplication identity element 1 is also applicable for whole numbers, integers and also rational numbers.
E.g.
3 x 1= 1 x 3 = 3( multiplication identity element 1 for whole number 3)
_8 x 1 = 1 x _8 = _8 ( multiplication identity element 1 for integer _8)
(3/8) x 1 = 1 x (3/8) = (3/8) (multiplication identity element 1 for rational number 3/8)

• First coming to your identity element stuff.
Identity element is named so because,that element doesn't change the identity of the number to which it added or multiplied.let me explain...
suppose there is a number say 7.if we add some number to it say 8
So 0 is the additive identity element
7+0=7=0+7
similarly if any number is multiplied with 7,it loses its identity but if you multiply it by 1 then 7 doesn't change its identity.
So 1 is the multiplicative identity element
7*1=7=1*7

now to your problem:-June has 30 days out of which 8 were rainy days so obviously 22 were dry days right.
so 22 out of 30=22/30
=11/15