Question

What is the value of 4/15 ÷ 2/3​

Answer 1

Answer:

2/5

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

In general for fractions

x/y  divided by w/z    

divide the two numerators and divide both denominators in each fraction separately

x/y / w/z    =     x/w  divided by y/z

4/15  /  2/3    =     4/2  /  15/3      =   2/5   <----------------    FINAL ANSWER

since division is the inverse of multiplication

I find it easier to multiple fraction by the inverse of the divisor

4/15  /  2/3    =    4/15  × 3/2    again multiple numerator with numerator and                   denominatior with denominator

4×3  / 15 × 2    =   12 / 30   simplifying ÷ numerator and denominator by 6

= 2/5        which is same value as above