Question

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

Answer 1

Answer:

x = 7 5/8

Step-by-step 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

Answer 2

Answer:

Decimal: x=8.87

Improper fraction: x=71/8

Mixed number: x=8 7/8

Step-by-step explanation:

$x-2\frac{5}{8}=6\frac{1}{4}$

First, let's convert mixed numbers to improper fraction

$x-\frac{21}{8}=\frac{25}{4}$

Now, we can add 21/8 to both sides

$x-\frac{21}{8}+\frac{21}{8}=\frac{25}{4}+\frac{21}{8}$

$x=\frac{71}{8}$

We can convert 71/8 to a mixed number

$x=8\frac{7}{8}$

Hope this helps!