What is 4-8\times 5/12 ?

The solution to 4-8\times 5/12 is 2/3

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4-8\times 5/12

4 - 8 \cdot \frac{5}{12}

\frac{2}{3}

Solution steps

4 - 8 \cdot \frac{5}{12}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

8 \cdot \frac{5}{12} : \frac{10}{3}

8 \cdot \frac{5}{12}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \cdot \frac{5}{12}

Apply the fraction rule:

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

= \frac{8 \cdot 5}{1 \cdot 12}

Cancel

\frac{8 \cdot 5}{1 \cdot 12} : \frac{10}{3}

\frac{8 \cdot 5}{1 \cdot 12}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{8 \cdot 5}{12}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 2 \cdot 5}{12}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 2 \cdot 5}{4 \cdot 3}

Cancel the common factor:

4

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

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10}{3}

= \frac{10}{3}

= 4 - \frac{10}{3}

Add and subtract (left to right)

4 - \frac{10}{3} : \frac{2}{3}

4 - \frac{10}{3}

4 - \frac{10}{3} = \frac{2}{3}

4 - \frac{10}{3}

Convert element to fraction:

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

= \frac{4 \cdot 3}{3} - \frac{10}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 3 - 10}{3}

4 \cdot 3 - 10 = 2

4 \cdot 3 - 10

Multiply the numbers:

4 \cdot 3 = 12

= 12 - 10

Subtract the numbers:

12 - 10 = 2

= 2

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3}

7 (3) - \frac{15}{5}

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

6 (2 + 13 - 9) + 15 - 10

2^{2} \cdot 3^{2} \cdot 2

1 + 4^{2}