Question

Evaluate. 4(3)/(8)-2(1)/(6)+3(5)/(12)

Answer 1

To evaluate the expression 4(3)/8 - 2(1)/6 + 3(5)/12, simplify each fraction and then perform the addition and subtraction operations. The simplified expression is 1.5 - 0.333 + 1.25, which equals 2.417.

Step-by-step explanation:

The student's question involves evaluating a numerical expression with fractions. The expression given is 4(3)/8 - 2(1)/6 + 3(5)/12. To evaluate this expression, each fraction must be simplified before performing the indicated addition and subtraction.

First, simplify each term:

• 4(3)/8 equals 12/8, which simplifies to 3/2 or 1.5.
• 2(1)/6 equals 2/6, which simplifies to 1/3 or approximately 0.333.
• 3(5)/12 equals 15/12, which simplifies to 5/4 or 1.25.

Now, combine the simplified terms:

1.5 - 0.333 + 1.25

You can then perform the addition and subtraction to get the final answer:

1.5 - 0.333 + 1.25 = 1.167 + 1.25 = 2.417

The evaluated expression is 2.417.