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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

Respuesta :

So when you divide fractions, you keep the first fraction (in this case 5/8) then change the sign from divide to multiply, then flip the second fraction (we’ll use 1/16 first)

So 5/8 times 16/1. 80/8. Simply to 10.

Now do the same with 5/8 and 1/32

5/8 times 32/1. 160/8. Simplify to 20.

So I good prediction would be 1/32 since you have to flip the divisor and multiply.

Answer:

Robyn will get the greater quotient

Step-by-step explanation:

Prediction: Since 1/16 >1/32

So, it will prove the smaller quotient

Susan divides the fraction 5/8 by 1/16 .

Calculation : [tex]\frac{5}{8} \div \frac{1}{16}[/tex]

                     [tex]\frac{\frac{5}{8}}{\frac{1}{16}}[/tex]    

                     [tex]\frac{5}{8} \times 16[/tex]    

                     [tex]10[/tex]    

Robyn divides 5/8 by 1/32

Calculation : [tex]\frac{5}{8} \div \frac{1}{32}[/tex]

                     [tex]\frac{\frac{5}{8}}{\frac{1}{32}}[/tex]    

                     [tex]\frac{5}{8} \times 32[/tex]    

                     [tex]20[/tex]    

So, The prediction is true.

Robyn will get the greater quotient