Question

Find the value of

$\left[ (30 \div 5) \times \left\{ \frac{30}{6} + \frac{19}{1} \times (4 - 3) \right\} \right]$

• A. 144
• B. 155
• C. 132
• D. 157

Answer 1

Answer:

A. 144

The final value of the expression is 144.

1. Solve the innermost round brackets $( \cdot )$:

   • $30 \div 5 = 6$

   • $4 - 3 = 1$

   Substitute these back into the expression:
   $\left[ 6 \times \left\{ \frac{30}{6} + \frac{19}{1} \times 1 \right\} \right]$

2. Simplify the fractions and multiplication inside the curly braces $\{ \cdot \}$:

   • Simplify fractions: $\frac{30}{6} = 5$ and $\frac{19}{1} = 19$

   • Perform multiplication first: $19 \times 1 = 19$

   • Perform addition next: $5 + 19 = 24$

   Substitute this back into the expression:
   $\left[ 6 \times 24 \right]$

3. Solve the final square brackets $[ \cdot ]$:

   • $6 \times 24 = 144$