Question

Simplify 45÷3[90÷45{6+3(19-16)}]​

Answer 1

Step-by-step explanation:

45÷3[90÷45{6+3(19-16)}]

45÷3[90÷45{6+3(3)}]

45÷3[90÷45{6+9}]

45÷3[90÷45{15}]

45÷3 [90÷675]

$\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}$

$\cancel{15} × \frac{6}{\cancel{45}^\ {3}}$

6/3

2

Answer 2

The equation of $\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$ is 165.

What is PEMDAS rule?

PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.

How to simplify the equation of $\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$?

Given:

$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$

45/3 = 15

Simplifying the given equation, we get

$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right]$

90 / 45 = 2

By simplifying the above equation, then we get

= 15[2 + 3(19 -16)]

By using the PEMDAS rule

15[2 + 3(19 -16)] = 11

$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11$

= 165

Therefore, the equation of $\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]$ is 165.

To learn more about PEMDAS rule refer to:

https://brainly.com/question/17297306

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