What is 2/5 (10)+3(6)-6 ?

The solution to 2/5 (10)+3(6)-6 is 16

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2/5 (10)+3(6)-6

\frac{2}{5} (10) + 3 (6) - 6

16

Solution steps

\frac{2}{5} (10) + 3 (6) - 6

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{2}{5} (10) : 4

\frac{2}{5} (10)

Apply rule:

(a) = a

(10) = 10

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

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

\frac{2}{5} \cdot 10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{2}{5} \cdot \frac{10}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 10}{5 \cdot 1}

Cancel

\frac{2 \cdot 10}{5 \cdot 1} : 4

\frac{2 \cdot 10}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

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

Divide the numbers:

\frac{10}{5} = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= 4

= 4

= 4 + 3 (6) - 6

Multiply and divide (left to right)

3 (6) : 18

3 (6)

Apply rule:

(a) = a

(6) = 6

= 3 \cdot 6

Multiply the numbers:

3 \cdot 6 = 18

= 18

= 4 + 18 - 6

Add and subtract (left to right)

4 + 18 - 6 : 16

4 + 18 - 6

4 + 18 = 22

= 22 - 6

22 - 6 = 16

= 16

= 16

3^{2} - 1^{2}

- 2 (- 1) - 3

- 2 (- 1) + 3

2 (- 3)^{2} + 4 (- 3)

2^{2} + 2^{4}