What number divided by 3/7 will give me 5/8

To find the number divided by 3/7 that will give you 5/8, you need to multiply 5/8 by the reciprocal of 3/7.

The reciprocal of 3/7 is 7/3.

So, multiply 5/8 by 7/3:

(5/8) * (7/3) = (5*7)/(8*3) = 35/24

Therefore, the number divided by 3/7 that will give you 5/8 is 35/24.

To find the number that, when divided by 3/7, equals 5/8, we can set up the following equation:

x / (3/7) = 5/8

To solve this equation, we can multiply both sides by the reciprocal of 3/7, which is 7/3:

(x / (3/7)) * (7/3) = (5/8) * (7/3)

Simplifying the equation, we get:

(7/3) * x = 35/24

To solve for x, we can multiply both sides by the reciprocal of 7/3, which is 3/7:

(7/3) * x * (3/7) = (35/24) * (3/7)

Simplifying the equation, we get:

x = 15/8

Therefore, the number that, when divided by 3/7, equals 5/8 is 15/8.