Answer:
B. 4/16
Step-by-step explanation:
Two ratios are equivalent if the result of their divisions is 1.
Division of fraction: Multiplication of the numerator by the inverse of the denominator.
In this question:
We are given the ratio 6/21.
We are given four options, one of which is not equivalent to 6/21. We divide 6/21 by all of them, and find the result. The one which the result is not 1 is the one which is not equivalent.
A. 2/7
[tex]\frac{\frac{6}{21}}{\frac{2}{7}}=\frac{6}{21}\ast\frac{7}{2}=\frac{6\ast7}{21\ast2}=\frac{42}{42}=1[/tex]
B. 4/16
[tex]\frac{\frac{6}{21}}{\frac{4}{16}}=\frac{6}{21}\ast\frac{16}{4}=\frac{6\ast16}{21\ast4}=\frac{96}{84}\ne1[/tex]
These ratios are not equivalent, which means that B is the answer.
C. 8/28
D. 10/35
