What is (2\times 10)-(2 2/4)\times 5 ?

The solution to (2\times 10)-(2 2/4)\times 5 is 7 1/2

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(2\times 10)-(2 2/4)\times 5

(2 \cdot 10) - (2 \frac{2}{4}) \cdot 5

7 \frac{1}{2}

Solution steps

(2 \cdot 10) - (2 \frac{2}{4}) \cdot 5

Convert mixed numbers to improper fractions:

2 \frac{2}{4} = \frac{10}{4}

= (2 \cdot 10) - (\frac{10}{4}) \cdot 5

\frac{10}{4} = \frac{5}{2}

= 2 \cdot 10 - \frac{5}{2} \cdot 5

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 \cdot 10 : 20

= 20 - \frac{5}{2} \cdot 5

Multiply and divide (left to right)

\frac{5}{2} \cdot 5 : \frac{25}{2}

= 20 - \frac{25}{2}

Add and subtract (left to right)

20 - \frac{25}{2} : \frac{15}{2}

= \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

= 7 \frac{1}{2}

- 2^{2} + 4^{2}

2^{3} + 6

- 2^{2} + 4 (- 2)

\frac{1}{27} + 512 + 81 - \frac{4}{3} + 3375

3 + \frac{1}{5} - \frac{3}{10}

What is (2\times 10)-(2 2/4)\times 5 ?
The solution to (2\times 10)-(2 2/4)\times 5 is 7 1/2