(5/12 - 1/4) ÷ (1/3 + 1/16)​

8/9 = 0.421052632

Step-by-step explanation:

(5/12 - 1/4) / (1/3+1/16)

Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.

5/12 - 3/12 / 1/3+1/16

Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.

5-3/12 / 1/3+1/16

Subtract 3 from 5 to get 2.

2/12 / 1/3+1/16

Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.

1/6 / 1/3 + 1/16

Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.

1/6 / 16/48 = 3/48

Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.

1/6 / 16+3/48

Add 16 and 3 to get 19.

1/6 / 19/48

Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48

1/6 x (48/19)

Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.

1 x 48/6 x 19

Do the multiplications in the fraction 1 x 48/6 x 19

48/114

Reduce the fraction 48/114  to lowest terms by extracting and canceling out 6.

8/19

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !