what is the least fraction that must be added to ( 4/3 ÷ 3/2) ÷10/9 to make a result a natural number.
Answers
Answer:
The least fraction to be added to [(4/3) ÷ (3/2)] ÷ (10/9) is (1/5).
Step-by-step explanation:
First we must find what [(4/3) ÷ (3/2)] ÷ (10/9) is,
So, solving it,
[(4/3) ÷ (3/2)] ÷ (10/9)
= [(4/3) × (2/3)] ÷ (10/9)
= (8/9) ÷ (10/9)
= (8/9) × (9/10)
= (8/10)
= (4/5)
Now, we must know that,
Natural numbers, also known as counting numbers are numbers that begin from 1, 2, 3,...... upto infinity.
So,
Let the least fractionz. be x.
Then, according to the Question,
(4/5) + x = 1
x = 1 - (4/5)
x = (5/5) - (4/5)
x = (5 - 4)/5
x = (1/5)
Now you might think why I equaled my equation to 1,
This is because 1 is the least and the smallest natural number, so that would give us the least value of x so that (4/5) reaches 1 atleast.
Well, I could have equaled it to any number from 1 to Infinity, but the least fraction can be found from a number that gets us to the least number, right!!!??.
Hence,
The least fraction to be added to [(4/3) ÷ (3/2)] ÷ (10/9) is (1/5).
Hope it helped and believing you understood it........All the best
Step-by-step explanation:
ok it was so good