Answer: The answer is 8/5, or 1 3/5
Step-by-step explanation: The first step is to represent the unknown number by an alphabet, for example let's say the number is x. That means one quarter of x becomes
X × ¼
Or X/1 × 1/4
Which equals x/4
One quarter of a number increased by 2/5 can now be written as
x/4 + 2/5
One quarter of a number increased by 2/5 gives 4/5 can now be expressed as
x/4 + 2/5 = 4/5
The first step is to subtract 2/5 from both sides of the equation
x/4 = 4/5 - 2/5
Note that 5 is the common denominator, hence
x/4 = (4-2)/5
x/4 = 2/5
When you cross multiply, 4 moves to the right hand side and 5 moves to the left hand side. You now have
5x = 4×2
5x = 8
Divide both sides of the equation by 5
x = 8/5 (1 3/5)
