Question

Susan divides the fraction 5/8 by 1/16. Her friend Robyn divides 5/8 by 1/32. Predict which person will get the greater quotient. Explain and check your prediction.

Answer 1

okay, since they choose the same number, but divide by a different number. we know that if you divide by a number, you just times the number upside down (sorry i forgot which word is that) but, so 5/8 devide by 1/16 = 5/8 times 16. and Robyn's is 5/8 times 32. so ofc Robyn will be bigger since he is times it by a bigger number than Susan. ^ ^ 

Answer 2

Robyn will have a quotient 2 times larger than Susan

Explanation:

Prediction:

When dividing by a fraction, it is the same as multiplying with the inverse of that fraction. Therefore, Robyn will be multiplying with a larger fraction, making her quotient greater.

Check:

Susan:

`(5)/(8) /(1)/(16) =(5)/(8) *(16)/(1) =(80)/(8) =10`

Robyn:

`(5)/(8) /(1)/(32) =(5)/(8) *(32)/(1) =(160)/(8) =20`

Therefore, Robyn's quotient is two times greater.