What is (9+30\div 2)/(10-5^2(4)) ?

The solution to (9+30\div 2)/(10-5^2(4)) is -4/15

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(9+30\div 2)/(10-5^2(4))

\frac{9 + 30 \div 2}{10 - 5 ^{2} ( 4 )}

- \frac{4}{15}

Solution steps

\frac{9 + 30 \div 2}{10 - 5 ^{2} ( 4 )}

Solve

9 + 30 \div 2 : 24

Follow the PEMDAS order of operations

Multiply and divide (left to right)

30 \div 2 : 15

30 \div 2

30 \div 2 = 15

= 15

= 9 + 15

Add and subtract (left to right)

9 + 15 : 24

9 + 15

9 + 15 = 24

= 24

= 24

Solve

10 - 5^{2} (4) : - 90

Follow the PEMDAS order of operations

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 10 - 25 (4)

Multiply and divide (left to right)

25 (4) : 100

25 (4)

Apply rule:

(a) = a

(4) = 4

= 25 \cdot 4

Multiply the numbers:

25 \cdot 4 = 100

= 100

= 10 - 100

Add and subtract (left to right)

10 - 100 : - 90

10 - 100

10 - 100 = - 90

= - 90

= - 90

= \frac{24}{- 90}

Simplify

\frac{24}{- 90} : - \frac{4}{15}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{24}{90}

Cancel the common factor:

6

= - \frac{4}{15}

= - \frac{4}{15}

2 (3)^{2} - 1

- 8 (1)^{2}

50 - 35/5 \times 4

[(4 + 2 - 6) (3 + 4)] 50

5^{2} + (3 - 8)^{2}

What is (9+30\div 2)/(10-5^2(4)) ?
The solution to (9+30\div 2)/(10-5^2(4)) is -4/15