Question

What is the value of 4/15 ÷ 2/3​

Answer 1

The answer should be 2/5

When you divide fractions you multiply by the reciprocal.

So you do 4/15 divided by 2/3 get the reciprocal of 2/3 and you have 3/2. 3 would become the nominator and 2 would become the denominator.

So then you would multiply right across 4/15 x 3/2, it would look like 4x3 and 15x2. (4x3=12) (15x2=30)

Then you’d get 12/30 which can be simplified it by 2 it’d be 6/15 but if you simplify it again by 3 you get your final answer 2/5

You know your done simplifying when both the nominator and denominators are prime numbers meaning they can only be divisive ale by 1 and itself

Answer 2

Answer:

To divide by a fraction, multiply by its reciprocal.

4

15

⋅

3

2

Cancel the common factor of  

2

2

15

⋅

3

Cancel the common factor of  

3

.

2

5

The result can be shown in multiple forms.

Exact Form:

2

5

Decimal Form:

0.4

Step-by-step explanation: