Question

What is x - 2 5/8 = 6 1/4

Answer 1

Decimal: x=8.87

Improper fraction: x=71/8

Mixed number: x=8 7/8

Explanation:

`x-2(5)/(8)=6(1)/(4)`

First, let's convert mixed numbers to improper fraction

`x-(21)/(8)=(25)/(4)`

Now, we can add 21/8 to both sides

`x-(21)/(8)+(21)/(8)=(25)/(4)+(21)/(8)`

`x=(71)/(8)`

We can convert 71/8 to a mixed number

`x=8(7)/(8)`

Hope this helps!

Answer 2

x = 7 5/8

Explanation:

Given:

x - 2 5/8 = 6 1/4

first, let's find a common denominator so we can deal with the fractions easier.

The smallest number 8 and 4 is divisible by, is 8.

so we just multiply everything in the equation by 8 now, this helps get rid of the fractions.

x - 2 5/8 = 6 1/4

8 (x -2 5/8) = 8 (6 1/4)

simplifies into

8x -16 + 5 = 48 + 2

simplify some more

8x -11 = 50

solve for x

8x = 11 + 50

8x = 61

x = 61/8

or

x = 7 5/8