What is 1/4+5/4+6/4 ?

The solution to 1/4+5/4+6/4 is 3

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1/4+5/4+6/4

1/4 + 5/4 + 6/4

3

Solution steps

1/4 + 5/4 + 6/4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

1/4 : \frac{1}{4}

1/4

1/4 = \frac{1}{4}

= \frac{1}{4}

= \frac{1}{4} + 5/4 + 6/4

Multiply and divide (left to right)

5/4 : \frac{5}{4}

5/4

5/4 = \frac{5}{4}

= \frac{5}{4}

= \frac{1}{4} + \frac{5}{4} + 6/4

Multiply and divide (left to right)

6/4 : \frac{6}{4}

6/4

6/4 = \frac{6}{4}

= \frac{6}{4}

= \frac{1}{4} + \frac{5}{4} + \frac{6}{4}

Add and subtract (left to right)

\frac{1}{4} + \frac{5}{4} + \frac{6}{4} : 3

\frac{1}{4} + \frac{5}{4} + \frac{6}{4}

\frac{1}{4} + \frac{5}{4} = \frac{3}{2}

\frac{1}{4} + \frac{5}{4}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 + 5}{4}

Add the numbers:

1 + 5 = 6

= \frac{6}{4}

Cancel the common factor:

2

= \frac{3}{2}

= \frac{3}{2} + \frac{6}{4}

\frac{3}{2} + \frac{6}{4} = 3

\frac{3}{2} + \frac{6}{4}

Cancel

\frac{6}{4} : \frac{3}{2}

\frac{6}{4}

Cancel the common factor:

2

= \frac{3}{2}

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

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 + 3}{2}

Add the numbers:

3 + 3 = 6

= \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3

= 3

= 3

2 (3)^{3} + 16 (3) - 19

- 6 + 9 \times 2

9 \times 8 + 4 \times 2 + 7 \times 2

1 6^{2} \cdot 2

1 6^{2} \cdot 4