Question

Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?

Answer 1

Answer:

a. 4 %

b. 0.125%

Step-by-step explanation:

Let the missing percent be 'x'

$x \: \times \: \frac{1}{6} = \frac{2}{3}$

Use the commutative property to reorder the terms

$\frac{1}{6} x = \frac{2}{3}$

Multiply both sides of the equation by 6

$\frac{1}{6} x \times 6 = \frac{2}{3} \times 6$

Calculate

$x = 4 \:$ %

b. $x \: \times 1 \frac{3}{5} = 0.2$

Convert the mixed number into improper fraction

$x \times \frac{8}{5} = 0.2$

Use the commutative property to reorder the terms

$\frac{8}{5} x = 0.2$

Multiply both sides of the equation by $\frac{5}{8}$

$\frac{8}{5} x \times \frac{5}{8} = 0.2 \times \frac{5}{8}$

Calculate

$x = 0.125 \:$ %

Hope this helps..

Best regards!!

Answer 2

Answer:

1)  2/3 is 400% of 1/6

2) 0.2 is 12.5% of 1 3/5

Step-by-step explanation:

1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)

2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%

hope this helps and gives a clear answer!