Evaluate the following mathematical expression: 1.2 + 2.4 \div \frac{4}{5} \times 0.5 What… — State PSC Exam

Evaluate the following mathematical expression:

1.2 + 2.4 \div \frac{4}{5} \times 0.5

What is the correct resulting value?

2.7

The correct sequence of operations is to first standardize the numbers (converting

\frac{4}{5}

0.8

), perform the division (

2.4 \div 0.8 = 3

), perform the multiplication (

3 \times 0.5 = 1.5

), and finally add the result to the initial value (

1.2 + 1.5 = 2.7

Convert the fraction to a decimal to make all terms uniform.

\frac{4}{5} = 0.8

. The expression becomes

1.2 + 2.4 \div 0.8 \times 0.5

Working entirely in decimals (or entirely in fractions) simplifies the arithmetic process.

Apply the order of operations (BODMAS/PEMDAS) by resolving division and multiplication from left to right. First, divide.

2.4 \div 0.8 = 3

. The expression becomes

1.2 + 3 \times 0.5

Division and multiplication take precedence over addition, and must be performed sequentially from left to right.

Perform the multiplication step.

3 \times 0.5 = 1.5

. The expression becomes

1.2 + 1.5

Multiplication is the next operation in the left-to-right sequence.

Perform the final addition.

1.2 + 1.5 = 2.7

Addition is the last operation remaining in the expression.

Order of Operations (BODMAS) with Mixed Number Formats

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