Answer:
7/8,5/6
Step-by-step explanation:
Two fractions are equivalent when their division is equal to one.
When we are dividing fractions, we multiply the numerator by the inverse of the denominator.
1/9,2/18
[tex]\frac{\frac{1}{9}}{\frac{2}{18}}=\frac{1}{9}\ast\frac{18}{2}=\frac{1\ast18}{9\ast2}=\frac{18}{18}=1[/tex]7/8,5/6
[tex]\frac{\frac{7}{8}}{\frac{5}{6}}=\frac{7}{8}\ast\frac{6}{5}=\frac{7\ast6}{8\ast5}=\frac{42}{40}[/tex]The division is not 1, so this par of fractions is not equivalent.
3/16, 9/48
[tex]\frac{\frac{3}{16}}{\frac{9}{48}}=\frac{3}{16}\ast\frac{48}{9}=\frac{3\ast48}{16\ast9}=\frac{144}{144}=1[/tex]6/15, 4/10
[tex]\frac{\frac{6}{15}}{\frac{4}{10}}=\frac{6}{15}\ast\frac{10}{4}=\frac{6\ast10}{15\ast4}=\frac{60}{60}=1[/tex]