Question

Solve: \[\dfrac{16}{5}-\dfrac{7}{5}\]

Answer 1

Hint: Let us assume the given value to solve is equal to x. Now we have to find L.C.M of denominators which consist in x. Based on the value of L.C.M found, the numerator can be determined and solved. By using this process, we can find the value of x.

Complete step by step answer:
From the question, we were given to solve \[\dfrac{16}{5}-\dfrac{7}{5}\].
Let us assume the value of \[\dfrac{16}{5}-\dfrac{7}{5}\] is equal to x.
Then
\[\Rightarrow x=\dfrac{16}{5}-\dfrac{7}{5}\]
Let us assume this as equation (1).
\[\Rightarrow x=\dfrac{16}{5}-\dfrac{7}{5}.....(1)\]
Now let us observe the denominators of two fractions. It is clear that the denominators of both fractions are 5 and 5.
Now we have to find the L.C.M of 5 and 5.
We know that the L.C.M Of 5 and 5 is equal to 5.
So, the denominator of the resultant will be equal to 5.
So, equation (1) can be written as
\[\Rightarrow x=\dfrac{16-7}{5}\]
Let us assume this as equation (2).
\[\Rightarrow x=\dfrac{16-7}{5}......(2)\]
Now we have to simplify equation (2), then we get
\[\Rightarrow x=\dfrac{9}{5}\]
Let us assume this as equation (3), then
\[\Rightarrow x=\dfrac{9}{5}.....(3)\]
So, from equation (3) we can say that the value of x is equal to \[\dfrac{9}{5}\].
So, we can say that by solving \[\dfrac{16}{5}-\dfrac{7}{5}\] we get \[\dfrac{9}{5}\].

Note: Students should avoid calculation mistakes while solving the problem. If a small mistake is made, then the final answer may get interrupted. So, students should not commit any silly mistakes such that it may go wrong and we may not get the correct final output of the problem. Students should solve this problem in a careful manner.