simplify: 2 3/4 + 1 5/14 - 1/21
Answers
Answer:
(Along the first row 4/11 + 9/11 + 2/11 = 15/11)
Answer:
Sum of first row: 4/11 + 9/11 + 2/11 = 15/11 (Given)
Sum of second row: 3/11 + 5/11 + 7/11 = (3 + 5 + 7)/11 = 15/11
Sum of third row: 8/11 + 1/11 + 6/11 = (8 + 1 + 6)/11 = 15/11
Sum of first column: 4/11 + 3/11 + 8/11 = (4 + 3 + 8)/11 = 15/11
Sum of second column: 9/11 + 5/11 + 1/11 = (9 + 5 + 1)/11 = 15/11
Sum of third column: 2/11 + 7/11 + 6/11 = (2 + 7 + 6)/11 = 15/11
Sum of first diagonal (left to right): 4/11 + 5/11 + 6/11 = (4 + 5 + 6)/11 = 15/11
Sum of second diagonal (left to right): 2/11 + 5/11 + /11 = (2 + 5 + 8)/11 = 15/11
Since the sum of fractions in each row, in each column and along the diagonals is same, therefore it is a magic square.
Question 4:
A rectangular sheet of paper is 12 cm long and 10 cm wide. Find its perimeter.
Answer:
Given: The sheet of paper is in rectangular form.
Length of sheet = 12 cm = 25/2 cm
and Breadth of sheet = 10 cm = 32/3
Now, Perimeter of rectangle = 2 (length + breadth)
= 2(25/2 + 32/2)
= 2[(25 * 3 + 32 * 3)/6]
= 2[(75 + 96)/6]
= 2(139/6)
= 139/3
= 46
Thus, the perimeter of the rectangular sheet is 46 cm.
Answer:
23/4+ 15/14 - 1/21
21*23 +90 -4= 569