6 + [2/3 + 4/3] x 5/2 ÷ 3/4 = ?

March 16, 2026Mathematics

ScanSolve AI Answer

March 16, 2026

Answer

\dfrac{23}{22}

Step 1: Simplify the expressions inside the brackets.
$[2 + 1] = 3$
$[3 + 3] = 6$
The expression is now
$\frac{5 + 3 \cdot 5 + 3}{6 + 6 \times 2 + 4}$

Step 2: Perform the multiplications (following order of operations).
Numerator: $3 \cdot 5 = 15$ → $5 + 15 + 3$
Denominator: $6 \times 2 = 12$ → $6 + 12 + 4$

Step 3: Add in the numerator.
$5 + 15 = 20$
$20 + 3 = 23$
Add in the denominator.
$6 + 12 = 18$
$18 + 4 = 22$
The expression simplifies to
$\frac{23}{22}$

Final answer:
\dfrac{23{22}}

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

More Mathematics Questions

QExpress the following vectors graphically: A = (2cm, 35°), B = (4cm, 120°), C = (3cm, 210°)QFactorise the following completely: 1) 10x2 - 9xy + 2y2, 2) 5x2 + 18xy + 9y2 Q2 Mariam collects empty cans for recycling. She collects 3 cans on day 1, 6 cans on day 2, 12 cans o…QComplete the following table with common fraction, decimal fraction and percentage.Q2 (sqrt(49) + 1)2

See all Mathematics questions →

Still have questions?

Quick Answer

Simplify the expressions inside the brackets. [2 + 1] = 3 [3 + 3] = 6 The expression is now (5 + 3 · 5 + 3)/(6 + 6 × 2 + 4) Step 2: Perform the multiplications (following order of operations).

Asked on March 16, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 16, 2026

Step 1: Simplify the expressions inside the brackets. [2 + 1] = 3 [3 + 3] = 6 The expression is now (5 + 3 · 5 + 3)/(6 + 6 × 2 + 4) Step 2: Perform the multiplications (following order of operations). Numerator: 3 · 5 = 15 → 5 + 15 + 3 Denominator: 6 × 2 = 12 → 6 + 12 + 4 Step 3: Add in the numerator. 5 + 15 = 20 20 + 3 = 23 Add in the denominator. 6 + 12 = 18 18 + 4 = 22 The expression simplifies to (23)/(22) Final answer: (23)/(22)