What is 2+3/4 (6-2) ?

The solution to 2+3/4 (6-2) is 5

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2+3/4 (6-2)

2 + \frac{3}{4} (6 - 2)

5

Solution steps

2 + \frac{3}{4} (6 - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 2) : 4

6 - 2

6 - 2 = 4

= 4

= 2 + \frac{3}{4} \cdot 4

Multiply and divide (left to right)

\frac{3}{4} \cdot 4 : 3

\frac{3}{4} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{3}{4} \cdot \frac{4}{1}

Cross-cancel common factor:

4

= \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= 3

= 2 + 3

Add and subtract (left to right)

2 + 3 : 5

2 + 3

2 + 3 = 5

= 5

= 5

4 + \frac{9}{4} - \frac{8}{3} - \frac{1}{4}

1 - \frac{2}{3} + \frac{9}{2}

2 \times (- 5) + 4 (8 - 7 + 10 (2 - 5 - 9 + 14))

1 0^{2} - 4 (1) (25)

10 - 5 + 3