What is 5/6 (15)+15/6 ?

The solution to 5/6 (15)+15/6 is 15

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5/6 (15)+15/6

\frac{5}{6} (15) + \frac{15}{6}

15

Solution steps

\frac{5}{6} (15) + \frac{15}{6}

\frac{15}{6} = \frac{5}{2}

Cancel the common factor:

3

\frac{5}{2}

= \frac{5}{6} \cdot 15 + \frac{5}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{6} \cdot 15 : \frac{25}{2}

\frac{5}{6} \cdot 15

Convert element to fraction:

15 = \frac{15}{1}

= \frac{5}{6} \cdot \frac{15}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 15}{6 \cdot 1}

Cancel

\frac{5 \cdot 15}{6 \cdot 1} : \frac{25}{2}

\frac{5 \cdot 15}{6 \cdot 1}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{5 \cdot 15}{6}

Factor the number:

15 = 3 \cdot 5

= \frac{5 \cdot 3 \cdot 5}{6}

Factor the number:

6 = 3 \cdot 2

= \frac{5 \cdot 3 \cdot 5}{3 \cdot 2}

Cancel the common factor:

3

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

Multiply the numbers:

5 \cdot 5 = 25

= \frac{25}{2}

= \frac{25}{2}

= \frac{25}{2} + \frac{5}{2}

Add and subtract (left to right)

\frac{25}{2} + \frac{5}{2} : 15

\frac{25}{2} + \frac{5}{2}

\frac{25}{2} + \frac{5}{2} = 15

\frac{25}{2} + \frac{5}{2}

Apply rule

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

= \frac{25 + 5}{2}

Add the numbers:

25 + 5 = 30

= \frac{30}{2}

Divide the numbers:

\frac{30}{2} = 15

= 15

= 15

= 15

5 - \frac{5}{7} \div \frac{9}{2}

8 - 9 - 2

- 3 (- 1)^{2} - 6 (- 1)

[6 + (4 \times 3)] - [15 - 9]

3 0^{2} - 1 5^{2}