Final answer:
The expression (1.4) (2 1/3 - 4) simplifies to -4 2/3 after converting the mixed number to an improper fraction, performing the subtraction, and multiplying the result by 1.4.
Step-by-step explanation:
The student's question involves performing a mathematical operation on a combination of whole numbers and fractions, and then multiplying the result by a decimal.
The question asks to calculate the expression (1.4) (2 1/3 - 4). First, we must simplify the expression inside the parentheses by converting the mixed number to an improper fraction and then performing the subtraction. After doing this, we multiply the result by 1.4 to get the final answer.
Let's break down the steps:
- Convert the mixed number 2 1/3 into an improper fraction: (2 × 3) + 1 = 6 + 1 = 7/3.
- Perform the subtraction from 4: (7/3) - 4. Since 4 can be written as 12/3, we have (7/3) - (12/3) = -5/3.
- Multiply this result by 1.4: 1.4 × (-5/3). To multiply a decimal by a fraction, convert the decimal to a fraction or multiply as is. 1.4 × (-5/3) = -7/3 × 2/1 = -14/3 or -4 2/3.
The final simplified answer is -4 2/3.