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agasfer [191]
3 years ago
11

Calculate the following expressionusing the order of operations. show all steps( do not combine more than two numbers together a

t a time) and write your answer as a mixed fraction if neccessary. show all steps for answer
(7/15 +125/9)2 - 16 multiplies* 0.25 divides 2
Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer: 204\frac{2}{5}

Step-by-step explanation:

Given the following expression:

(\frac{7}{15}+\frac{125}{9})^2-16(\frac{0.25}{2})

You can follow these steps in order to solve the exercise:

1. You need to solve the operations inside the parentheses:

- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

15=3*5\\9=3*3=3^2\\LCD=5*3^2=45

- Solve the division divididing the numerator 0.25 by the denominator 2.

Then, you get:

(\frac{(3)(7)+(5)(125)}{45})^2-16(\frac{0.25}{2})\\\\(\frac{646}{45})^2-16(0.125)

2. Solve the exponent:

\(\frac{417,316}{2,025}-16(0.125)

3. Solve the multiplication:

\(\frac{417,316}{2,025}-2

4. Solve the subtraction:

\(\frac{417,316-(2,025)(2)}{2,025}=\frac{413,266}{2,025}\approx204.08

5. Since :

0.8=\frac{2}{5}

You can write the result as a mixed fraction:

=204\frac{2}{5}

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