Question

2 & 1/2 = 1/8 = 20. How can you use that fact to help you solve 2 & 1/2 ÷ 5/8?

a) 5/8
b) 4/5
c) 16/5
d) 10/13"

Answer 1

To solve 2 & 1/2 ÷ 5/8, we can convert the mixed number to an improper fraction, multiply the dividend by the reciprocal of the divisor, and simplify the resulting fraction.

Step-by-step explanation:

To solve 2 & 1/2 ÷ 5/8, we can use the fact that 2 & 1/2 = 1/8 = 20 to help us.

First, we can convert the mixed number 2 & 1/2 into an improper fraction. We multiply the whole number by the denominator and add the numerator. So, 2 & 1/2 = 5/2.

Next, we can multiply the dividend (5/2) by the reciprocal of the divisor (5/8). The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, the reciprocal of 5/8 is 8/5.

Finally, we can multiply 5/2 by 8/5 which gives us 40/10. Simplifying the fraction, we get 4. Therefore, the answer is b) 4/5.