Question

M+2 1/4=8 4/5 pls show your work . A) 6 3/1 B) 11 1/20 C) 6 11/20 D) 6 9/20

Answer 1

Please include the instructions.  It appears that you want to find the value of m that makes m + 2 1/4 = 8 4/5, but you should state this explicitly.

Rewrite   m + 2 1/4 = 8 4/5   as   m + 2.25 = 8.80.
Subtr. 2.25 from both sides:        m             = 6.55   (answer)

This is also equal to 131/20 or 6 11/20.

Next time, would you please insert punctuation in your list of answers, to separate A from B, B from C, and so on.

Answer 2

There are several ways to do this. The best way to start is to make the denominators the same. The simplest common multiple to find is 20, since 4 × 5 is 20.

Multiply the numerator and denominator of 1/4 by 5, so it becomes 5/20.

Multiply the numerator and denominator of 4/5 by 4, so it becomes 16/20.

Notice that you didn't have to change the whole numbers.

Now subtract 2 5/20
(which was previously 2 1/4) from both sides of the equation.

On the left side you're left with just m.

On the right side you have 8 16/20 - 2 5/20.

You can subtract just the fractions first, 16/20 - 11/20, so you get 11/20. Subtracting the whole numbers, 8 - 2, gives you 6.

You then have
m = 6 11/20