What is 2/3 (9-6)+40 ?

The solution to 2/3 (9-6)+40 is 42

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2/3 (9-6)+40

\frac{2}{3} (9 - 6) + 40

42

Solution steps

\frac{2}{3} (9 - 6) + 40

Follow the PEMDAS order of operations

Calculate within parentheses

(9 - 6) : 3

9 - 6

9 - 6 = 3

= 3

= \frac{2}{3} \cdot 3 + 40

Multiply and divide (left to right)

\frac{2}{3} \cdot 3 : 2

\frac{2}{3} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{2}{3} \cdot \frac{3}{1}

Cross-cancel common factor:

3

= \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= 2

= 2 + 40

Add and subtract (left to right)

2 + 40 : 42

2 + 40

2 + 40 = 42

= 42

= 42

(5^{2} - 5) \div (4^{2} + 8 - 7 \times (- 5))

4 + 25 \div 10

1 8^{4} \div 2^{4}

16 + (14 - 6) \cdot 3 - 6^{2} \div 6

- 10 \times (8 + 15 - 6 - 20)