Answer :

vitoriaalmeeida11

Answer: 9

Step-by-step explanation:

To solve any numerical expression, we have to follow a pattern:

  • Brackets ( Parentheses () ⇒ Curly brackets {} ⇒ square brackets [] )
  • Order of powers or roots
  • Division and Multiplication(starting left to right)
  • Addition and Subtraction (starting left to right)

So, for this expression, as we have two numerical expression in a division, I will focus first on the numerator and after on the denominator (you can do both togheter, it is just a matter of preference):

Numerator

[(26 -12) × 16 - 8 × 5 + 70 × 2] ⇒ (start to solve the parentheses)

[14 × 16 - 8 × 5 + 70 × 2] ⇒(from left to right, solve the multiplication)

[224 - 8 × 5 + 70 × 2] ⇒ (from left to right, solve the multiplication)

[224 - 40 + 70 × 2] ⇒ (from left to right, solve the multiplication)

[224 - 40 + 140] ⇒ (from left to right, solve the subtraction)

[184 + 140] ⇒ (addition)

324

Denominator

[28 × 5 - 3 × (12 × 2 + 20) : 3 - 15 × 4]⇒(start to solve the parentheses)

[28 × 5 - 3 × (12 × 2 + 20) : 3 - 15 × 4]⇒(from left to right, solve the multiplication)

[28 × 5 - 3 × (24 + 20) : 3 - 15 × 4]⇒ (addition)

[28 × 5 - 3 × 44 : 3 - 15 × 4]⇒(from left to right, solve the multiplication)

[140 - 3 × 44 : 3 - 15 × 4]⇒ (still left to right, solve another multiplication)

[140 - 132 : 3 - 15 × 4]⇒ (now, solve the division)

[140 - 44 - 15 × 4]⇒ (solve the multiplication)

[140 - 44 - 60]⇒ (solve the subtraction)

[96 - 60] ⇒ (solve the subtraction)

36

We got 324 as the numerator and 36 as the denominator, then

[(26 -12) × 16 - 8 × 5 + 70 × 2] : [28 × 5 - 3 × (12 × 2 + 20) : 3 - 15 × 4] =

324 : 36 =

9

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