which is an equivalent expression to 2 ¾+(1½+3.8)

Question

a. 6½+1½
b. 4¼+3.8
c. 4.3+2¾
d. 5½+2¾

Answer 1

To simplify the given expression, we start by evaluating the parentheses first. Inside the parentheses, we have 1½ + 3.8.

The sum of 1½ + 3.8 is 5.3.

So, the expression becomes 2 ¾ + 5.3.

To combine these two fractions, we need to find a common denominator. The common denominator for ¾ and 5.3 is 4.

Converting 2 into a fraction with the common denominator, we get 2 as 8/4.

Now, the expression becomes 8/4 + ¾ + 5.3.

Adding the fractions with the common denominator,
8/4 + 3/4 = 11/4.

The expression becomes 11/4 + 5.3.

To simplify further, we can convert 11/4 to a decimal by dividing 11 by 4.

11 ÷ 4 = 2.75.

So, the expression becomes 2.75 + 5.3.

Adding the decimal numbers, we get 8.05.

Therefore, the equivalent expression to 2 ¾ + (1½ + 3.8) is 8.05.

None of the answer choices provided match the result, so none of them are equivalent expressions.