Question

By what number should 5 whole 1/6 be divided to get 1 whole 11/20​

Answer 1

Answer:

5 1/6 should be divided by 1 1/4 to get 1 11/20.

Answer 2

Answer:

$6 \frac{2}{3}$

Step-by-step explanation:

Let the number be x

$Now,\\\frac{5\frac{1}{6}}{x} = 1\frac{11}{20} ............ (i)$

Converting to improper fractions:

$5 \frac{1}{6} = \frac{(5*6)+1}{6} = \frac{31}{6}\\and\\1 \frac{11}{20} = \frac{(1*20)+11}{20} = \frac{31}{20}$

Putting improper fractions into the equation (i):

$\frac{\frac{31}{6}}{x} = \frac{31}{20}\\\\\frac{31}{6*x} = \frac{31}{20}\\\\\\\frac{1}{6x} = \frac{1}{20}\\\\\\20=6x\\x = \frac{20}{3}\\\\x= 6 \frac{2}{3}$