Question

please help, I will give medal and fan who ever helps me 2/3 * x = 4/5
Multiply both sides by reciprocal of 2/3, which is 3/2
3/2 * 2/3 * x = 3/2 * 4/5
Simplify:
x = 3/1 * 2/5
Multiply:
x = 6/5 = 1 ¹/₅

−4d/3 = 3/25
Multiply both sides by 3
−4d = 9/25
Divide both sides by coefficient of d (−4)
d = −9/100

−8/9 * c = −24
c = 24 * 9/8
c = 3 * 9/1
c = 27

3/4 * a = 12
a = 12 * 4/3
a = 16

Answer 1

Explain each step. You must use the terms reciprocal and coefficient at least once. Label your steps with Step 1, Step 2, Step 3, and Step 4.

Answer 2

2/3 * x = 4/5
Step 1: Multiply both sides with 3/2 which is the reciprocal of 2/3, which is the coefficient of the x
3/2 * 2/3 * x = 3/2 * 4/5
Step 2: Simplify:
x = 3/1 * 2/5
Step 3: Multiply:
x = 6/5 = 1 ¹/₅

−4d/3 = 3/25
Step 1: Multiply both sides by -3/4 which is the reciprocal of (-4/3), which is the coefficient of d
d = 9/25 *(-3/4)
d = −27/100

−8/9 * c = −24
Step 1: Multiply both sides with -9/8 which is the reciprocal of (-8/9), which is the coefficient of c
c = 24 * 9/8
Step 2: Simplify
c = 3 * 9/1
Step 3: Multiply
c = 27

3/4 * a = 12
Step 1: Multiply both sides with 4/3 which is the reciprocal of 3/4, which is the coefficient of a
a = 12 * 4/3
step 2: simplify
a = 16

Answer 3

step 4 is there, right?

Answer 4

@sangya21

Answer 5

Is it compulsory to have step 4?

Answer 6

I think

Answer 7

I mainly need the justification for them

Answer 8

@sangya21

Answer 9

Well you have the justification

Answer 10

?

Answer 11

Every step is justified. You just dont have the number of steps.

Answer 12

ok thanks

Answer 13

anytime.