Answer:
Dividing by a fraction is the same thing as multiplying by its reciprocal.
Step-by-step explanation:
Thus, 4 / (5/8) is the same thing as 4 * (8/5).
Here's why it's so:
4 / (5/8)
Multiply numerator and denominator by 8.
4*8 / (5/8)*8
Clearly, (5/8) * 8 = 5. This gives you:
4*8/5
... which is 4 * (8/5), or 4 times the reciprocal of (5/8).
Naturally, that equals 32/5, or 6 and 2/5.
Hope that helps!
