Simplify the fraction 26 65

Given fraction is 26 65 We can simplify the fraction by dividing numerator and denominator by the highest common factor of these numbers. We know that, A factor is a number that can be multiplied with another number to get a specific product. We can think of factors as coming in pairs. Thus,factors of 26 are 1 , 2 , 13 , 26 Factors of 65 are 1 , 5 , 13 , 65 Common factors of 26 , 65 are 1 , 13 Highest common factors of 26 , 65 is 13 Simplest form of 26 65 = 26 ÷ 13 65 ÷ 13 = 2 5 Therefore the Simplest form of 26 65 is 2 5

The integer N is less than 100 . N and N 3 are both integers. Explain why N must be a square number.

The integer N is less than 100 . N and N 3 are both integers. Square number is the result of multiplying a number by itself. If N is a number, then its square is N 2 . A cube number is a number that is the product of three numbers which are the same. We have to find a number whose cube is less than 100 . As we know cube of 5 is 125 so it will be less than 5 . We have the options 1 , 2 , 3 , 4 . The condition is that the cube of the number can be transformed as square root also. Cube of the numbers are: ⇒ 1 , 1 3 = 1 ⇒ 2 , 2 3 = 8 ⇒ 3 , 3 3 = 27 ⇒ 4 , 4 3 = 64 ⇒ 1 = 1 , 64 = 8 Among this only 1 and 64 can be expressed in square root form and these two are integers also. Hence, we can state that N must be square number.

The integer N is less than 100 . N and N 3 are both integers.Find the value of N .

The integer N is less than 100 . N and N 3 are both integers. Square number is the result of multiplying a number by itself. If N is a number, then its square is N 2 . A cube number is a number that is the product of three numbers which are the same. We have to find a number whose cube is less than 100 . As we know cube of 5 is 125 so it will be less than 5 . We have the options 1 , 2 , 3 , 4 . The condition is that the cube of the number can be transformed as square root also. Cube of the numbers are: ⇒ 1 , 1 3 = 1 ⇒ 2 , 2 3 = 8 ⇒ 3 , 3 3 = 27 ⇒ 4 , 4 3 = 64 ⇒ 1 = 1 , 64 = 8 Hence, the value of N can be 1 or 64 .