Question

Divide. Express your answer in simplest form.

2/3 ÷ 4/15
A) 5 5/8
B) 2 1/2
C) 2/5
D) 8/45

Answer 1

Answer: B, 2 1/2

Explanation:

When dividing fractions, we can use the Keep, Change, Flip Method.

1. Keep the first fraction

2. Change the sign from division to multiplication

3. Flip the last fraction so that the numerator becomes the denominator and vice versa

Our equation:

`(2)/(3)` ÷
`(4)/(15)`

Let's use the method we just learned and apply it to this equation.

1. Keep 2/3

2. Change the sign

3. Flip 4/15 to 15/4

Our new equation:

`(2)/(3) * (15)/(4)`

Now let's solve by just multiplying straight across.

15*2=30

3*4=12

`(30)/(12)`

Now, we can simplify. 12 fits two times in 30, so 2 is our whole number. After taking out 12 twice (24), we have 6 remaining (30-24=6). Our expression is 2 6/12. 6/12 can be simplified to 1/2 (divide both sides by 6).

Our final expression:

`2(1)/(2)`

hope this helps!

Answer 2

2/3 ÷ 4/15

Divide 2/3 by 4/15 by multiplying 2/3 by the reciprocal of 4/15.

2/3 × (15/4)

Multiply 2/3 by 15/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

2 × 15 / 3 × 4

Do the multiplications on the fraction.

30/12

We reduce the fraction 30/12 to its lowest expression by extracting and canceling 6.

5/2 ≈ 2 1/2

Therefore, the correct option is alternative "B".