simplify 11.4565(bar under 65)÷2.67 (bar under 67)
Answers
4.28
Explanation:
Given that,
11.456565... ÷ 2.6767...
In order to simplify them, we will first convert them into p/q form.
For 11.456565...
Let x = 11.456565...
⇒ 100x = 1145.6565...
⇒ 100x = 1134.20 + 11.456565...
⇒ 100x - x = 1134.20
⇒ 99x = 1134.20
∵ x = 113420/9900 or 11342/990 ...(i)
For 2.6767...
Let x = 2.6767...
⇒ 100x = 267.6767...
⇒ 100x = 265 + 2.6767..
⇒ 100x - x = 265
⇒ 99x = 265
∵ x = 265/99 ...(ii)
Now by dividing (i) by (ii)
= 11342/990 ÷ 265/99
= 11342/990 * 99/265
= 1122858/262350
= 4.28
Learn more: Simplify
brainly.in/question/33814434
Answer:
the answer is 4.28
Explanation:
11.456565... ÷ 2.6767...
1. For 11.456565...
Let x = 11.456565...
⇒ 100x = 1145.6565...
⇒ 100x = 1134.20 + 11.456565...
⇒ 100x - x = 1134.20
⇒ 99x = 1134.20 ( removing decimals )
∵ x = 113420/9900 or 11342/990 ...(i)
2. For 2.6767...
Let x = 2.6767...
⇒ 100x = 267.6767...
⇒ 100x = 265 + 2.6767..
⇒ 100x - x = 265
⇒ 99x = 265
∵ x = 265/99 ...(ii)
Now by dividing (i) by (ii)
= 11342/990 ÷ 265/99
= 11342/990 * 99/265
= 1122858/262350
= 4.28
#SPJ2