One quarter of a number increased by 2/5 gives 4/5. what is the number

2/5

Step-by-step explanation

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)