Question

Mr. Rowley has 16 papers and 14 exit tickets to return. Ms. Rivera has 64 homework papers and 60 exit tickets to return. For each teacher, write a ratio to represent the number of homework papers to number of exit tickets they have to return. Are the ratios equivalent? Explain

Answer 1

Number of homework papers of Mr. Rowley = 16
Number of exit tickets of Mr. Rowley = 14

Ratio of number of homework papers to number of exit tickets of Mr. Rowley 

$=16:14 \\ \\ = \frac{8*2}{7*2} \\ \\ = \frac{8}{7}$

Number of homework packs of Ms. Rivera = 64
Number of exit tickets of Ms. Rivera = 60
Ratio of number of homework papers to number of exit tickets of Mr. Rivera

$=34:60 \\ \\ = \frac{16*4}{15*4} \\ \\ = \frac{16}{15}$

Two ratios are equivalent if their simplified form have the same numerator and denominator. Both ratios are reduced to simplified form and they have different numerator and denominator. Thus the two ratios are NOT equivalent.