What is the least common multiple of 3 and 4

Start by setting up a factor tree for 4 and 3.

4 factors as 2 · 2 and 3 doesn't factor.

When finding the least common multiple, we are looking for factors that match up and notice that we have no factors in common.

In this situation, the least common multiple

comes from multiplying them together.

So we have 4 · 3 or 12 which means the lcm of 3 and 4 is 12.

I have also shown my work below.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3