Question

Evaluate |2 5/6+ y| for y = 7/4
A. 2 2/5
B. 3 1/5
C. 3 4/5
D. 4 7/12

Answer 1

To evaluate the expression |2 5/6 + y| for a given value of y, substitute the value of y into the expression and calculate the result. In this case, when y = 7/4, the result is 55/12.

Step-by-step explanation:

To evaluate the expression |2 rac{5}{6} + y| for a given value of y, we substitute the value of y into the expression and calculate the result.

Let's substitute y = rac{7}{4} into the expression:

|2 rac{5}{6} + rac{7}{4}| = |rac{17}{6} + rac{7}{4}|

To add the fractions, we need to find a common denominator. The common denominator of 6 and 4 is 12. So we rewrite the fractions with 12 as the denominator:

|2 rac{5}{6} + rac{7}{4}| = | rac{34}{12} + rac{21}{12}|

Adding the numerators, we get:

|2 rac{5}{6} + rac{7}{4}| = | rac{55}{12}|

Therefore, the value of |2 rac{5}{6} + y| for y = rac{7}{4} is rac{55}{12}.