which of the following represents the sum of numerator and denominator in the simplified expression of (3.23 +4.75) bar on 3 and bar on 75
Answers
Answer:
Required sum = 989
Step-by-step explanation:
The first number, say x = 3.23 (bar on 3)
Then x = 3.2333...
So 10x = 32.333...
and 100x = 323.333...
Then 100x - 10x = 323.333... - 32.333...
or, 90x = 291
or, x = 291/90
The second number, say y = 4.75 (bar on 75)
Then y = 4.757575...
So 100y = 475.757575...
Then 100y - y = 475.7575... - 4.7575...
or, 99y = 471
or, y = 471/99
Therefore x + y = 291/90 + 471/99
= 97/30 + 157/33
= 1/3 × (97/10 + 157/11)
= 1/3 × {(97 × 11) + (157 × 10)}/110
= 1/3 × 2637/110
= 879/110
Hence the sum of the numerator and the denominator is
= 879 + 110 = 989
Answer:
Required sum = 989
Step-by-step explanation:
The first number, say x = 3.23 (bar on 3)
Then x = 3.2333...
So 10x = 32.333...
and 100x = 323.333...
Then 100x - 10x = 323.333... - 32.333...
or, 90x = 291
or, x = 291/90
The second number, say y = 4.75 (bar on 75)
Then y = 4.757575...
So 100y = 475.757575...
Then 100y - y = 475.7575... - 4.7575...
or, 99y = 471
or, y = 471/99
Therefore x + y = 291/90 + 471/99
= 97/30 + 157/33
= 1/3 × (97/10 + 157/11)
= 1/3 × {(97 × 11) + (157 × 10)}/110
= 1/3 × 2637/110
= 879/110
Hence the sum of the numerator and the denominator is
= 879 + 110 = 989
Step-by-step explanation: