Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4x +1/3 =1/2 x + 5

2 answers:

8 0

They can all be multiplied to have 12 as the denominator. So you would have 6 - 9/12x + 4/12 = 6/12x + 5
This works as the fractions are the same value, they are just bigger numbers.

irga5000 [103]3 years ago

5 0

Answer:

The number is 12.

Step-by-step explanation:

Given: $6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{2}x+5$

We need to find a number multiply to each term to get rid of fraction.

We will find LCD of denominator.

First we see the numbers at denominator

Denominators are 4,3,2

Now, we will find the LCD of 2,3, and 4

Factor of 2: 2x1

Factor of 3: 3x1

Factor of 4: 2x2x1

LCD = 2x2x3 = 12

If we multiply by 12 to each term to eliminate the fraction.

Simplest equation:

$12\cdot 6-12\cdot \dfrac{3}{4}x+12\cdot \dfrac{1}{3}=12\cdot \dfrac{1}{2}x+12\cdot 5$

$72-9x+4=6x+60$

Hence, The number is 12.

You might be interested in

Triangle VWX is an isosceles triangle. What is the length of side VW?

patriot [66]

Can you please paste a picture of the triangle? I am happy to help, but I need to see the triangle. :-)

7 0

3 years ago

Read 2 more answers

15 POINTS: The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles forme

larisa [96]

Answer:

$15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ$

Step-by-step explanation:

The ratio of the same side interior angles of two parallel lines is 33:3

If two parallel lines are cut by a transversal

Sum of the same side interior angles = 180 degrees.

Therefore, the two same-side interior angles are:

$\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ$

We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:

$15^\circ,165^\circ,15^\circ,165^\circ, 15^\circ,165^\circ,15^\circ,165^\circ$