Question

Simplify:$\frac{6}{10} - \left(0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5\right) - 0.3$

• A. -5
• B. 1
• C. 0
• D. 0.6

Answer 1

Answer:

A. -5

The answer after simplifying the expression is -5.

According to the BODMAS rule, operations must be performed in this order: Bracket (), Order/Of (of), Division (÷), Multiplication (×), Addition (+), and Subtraction (-).

First, let's write all decimals as fractions or simple numbers for easier calculation:

• $\frac{6}{10} = 0.6$

Our expression looks like this:
$0.6 - \left(0.6 \div \frac{10}{3} \text{ of } 0.6 + 7 - 10 \div 5\right) - 0.3$

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Step 1: Solve the 'of' inside the bracket
$\frac{10}{3} \text{ of } 0.6 = \frac{10}{3} \times \frac{6}{10} = \frac{6}{3} = 2$

Now, substitute this back into the bracket:
$\left(0.6 \div 2 + 7 - 10 \div 5\right)$

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Step 2: Perform the operations inside the bracket (Division first)

• First division: $0.6 \div 2 = 0.3$

• Second division: $10 \div 5 = 2$

Now, the bracket becomes:
$\left(0.3 + 7 - 2\right)$

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Step 3: Solve the addition and subtraction inside the bracket
$0.3 + 7 - 2 = 7.3 - 2 = \mathbf{5.3}$

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Step 4: Solve the final remaining expression
Substitute the bracket value ($5.3$) back into the complete equation:
$0.6 - 5.3 - 0.3$

Rearranging the positive and negative numbers:
$0.6 - 0.3 - 5.3$
$0.3 - 5.3 = \mathbf{-5}$