Question

What should be subtracted from 5/9 to get 9/5?

Answer 1

First we will let the number which should be subtracted be x. Then, we will form a linear equation from the given values and x. Which could be, we will subtract x from 5/9 in L.H.S. and we will write 9/5 in R.H.S. because we need the answer after subtracting it to be 9/5.

Complete step by step answer:
Let the number which should be subtracted be x.
Now we can form the linear equation using the values given in question and x. So, the required equation is:
$\dfrac{5}{9} - x = \dfrac{9}{5}$
$x = \dfrac{5}{9} - \dfrac{9}{5}$
Now, we will take the L.C.M. of the denominator.
$x = \dfrac{{25 - 81}}{{45}}$
$x = \dfrac{{ - 56}}{{45}}$
So, the number which should be subtracted from 5/9 to get 9/5 is -56/45.

Note:
L.H.S. is the left – hand side of the equation and R.H.S. is the right – hand side of the equation. LCM stands for Least Common Multiple. The least common multiple of a number is the smallest number that is the product of two or more numbers. The least common multiple can be calculated for two or more integers as well as two or more fractions. The least common multiple of two numbers is the lowest possible number that can be divisible by both numbers.
The above question is based on the concept of linear equation in one variable which can be expressed in a form ax + c = 0, where a and c are integers and x is the one variable of the equation. Its value is unknown to us which we have to find.