Question

complete: __:11= 1/3 :6

Answer 1

$\frac{11}{18}$

let n represent the number to be found

simplify the ratio on the right by multiplying both parts by 3

we now have

$\frac{n}{11}$ = $\frac{1}{18}$ ( cross-multiply )

18n = 11 ( divide both sides by 18 )

n = $\frac{11}{18}$

Answer 2

The complete ratio for __:11= 1/3 :6   is   $\frac{11}{18} : 11 = \frac{1}{3} : 6$

The given equivalent ratio expression is:

__:11= 1/3 :6

This can be re-written as:

$x : 11 = \frac{1}{3}:6$

Rewrite the ratio in fraction form:

$\frac{x}{11} = \frac{1}{3} \div 6$

Change the division sign on the right to multiplication, and 6 to 1/6

$\frac{x}{11} = \frac{1}{3} \times \frac{1}{6} \\\\\frac{x}{11} = \frac{1}{18}$

Cross multiply:

18x   =  11

Divide both sides bu 18

$\frac{18x}{18} = \frac{11}{18} \\\\x = \frac{11}{18}$

Therefore, the equivalent ratio is $\frac{11}{18} : 11 = \frac{1}{3} : 6$

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