Question

Rewrite the equation below so that it does not have fractions.

3/4x-5=3/8

Do not use decimals in your answer.

Answer 1

To eliminate fractions from the equation 3/4x - 5 = 3/8, multiply every term by the least common denominator, which is 8. This results in the equation 6x - 40 = 3. Solving for x gives x = 43/6.

Step-by-step explanation:

To rewrite the equation 3/4x - 5 = 3/8 without fractions, we need to find a number that can be used to eliminate the fractions by multiplication. The least common denominator (LCD) for both 4 and 8 is 8. Multiplying each term of the equation by 8 will remove the fractions. The equation becomes:

• (8) * (3/4x) - (8) * 5 = (8) * (3/8)
• 2 * 3x - 40 = 3
• 6x - 40 = 3

Next, add 40 to both sides to isolate the term with the variable:

• 6x - 40 + 40 = 3 + 40
• 6x = 43

Finally, divide by 6 to solve for x:

• 6x / 6 = 43 / 6
• x = 43/6

The equation without fractions is 6x - 40 = 3, and the solution for x is 43/6.

Answer 2

x=

6

43

​

Step-by-step explanation:

pasos

4

3

​

x−5=

8

3

Agrega 5 a ambos lados.

4

3

​

x=

8

3

​

+5

Convertir 5 a la fracción

8

40

​

.

4

3

​

x=

8

3

​

+

8

40

​

Como

8

3

​

y

8

40

​

tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

​

x=

8

3+40

​

Suma 3 y 40 para obtener 43.

4

3

​

x=

8

43

​

Multiplica los dos lados por

3

4

​

, el recíproco de

4

3

​

.

x=

8

43

​

×(

3

4

​

)

Multiplica

8

43

​

por

3

4

​

(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=

8×3

43×4

​

Realiza las multiplicaciones en la fracción

8×3

43×4

​

.

x=

24

172

​

Reduzca la fracción

24

172

​

a su mínima expresión extrayendo y anulando 4.

x=

6

43

​