Question

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFraction 3 Over 4 EndFraction m minus StartFraction one-half EndFraction equals 2 StartFraction one-fourth EndFraction m. = 2 + m 2 3 4 5

Answer 1

Answer:

see below

Step-by-step explanation:

Answer: Each term of the equation can be multiplied by 44 to eliminate the fractions before solving.

Step-by-step explanation:

Given the following expression:

-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m−

4

3

m−

2

1

=2+

4

1

m

You need to simplify before solve it.

Notice that the denominators are different, then you must find the Least Common Denominator (LCD).

Descompose the denominators into their prime factors:

\begin{lgathered}4=2*2=2^2\\2=2\end{lgathered}

4=2∗2=2

2

2=2

Choose 2^22

2

, because it has the highest exponent. Then:

LCD=2^2=4LCD=2

2

=4

Finally you can multiply on both sides by 4 in order to to eliminate the fractions before solving:

\begin{lgathered}(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m\end{lgathered}

(4)(−

4

3

m)−(4)(

2

1

)=(4)(2)+(4)(

4

1

m)

−3m−2=8+m

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