Question

How to do
(3/4m^2-1)-(5/2m+1)​

Answer 1

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/4*m-5-1/2*m-(1)=0

Step by step solution :

STEP

1

:

1

Simplify —

2

Equation at the end of step

1

:

3 1

(((—•m)-5)-(—•m))-1 = 0

4 2

STEP

2

:

3

Simplify —

4

Equation at the end of step

2

:

3 m

(((— • m) - 5) - —) - 1 = 0

4 2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

5 5 • 4

5 = — = —————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (5 • 4) 3m - 20

———————————— = ———————

4 4

Equation at the end of step

3

:

(3m - 20) m

(————————— - —) - 1 = 0

4 2