What is 3/2*5+5*(-3/2) ?

The solution to 3/2*5+5*(-3/2) is 0

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3/25+5(-3/2)

\frac{3}{2} \cdot 5 + 5 \cdot (- \frac{3}{2})

0

Solution steps

\frac{3}{2} \cdot 5 + 5 (- \frac{3}{2})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{2} \cdot 5 : \frac{15}{2}

\frac{3}{2} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{3}{2} \cdot \frac{5}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 5}{2 \cdot 1}

Multiply the numbers:

3 \cdot 5 = 15

= \frac{15}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{15}{2}

= \frac{15}{2} + 5 (- \frac{3}{2})

Multiply and divide (left to right)

5 (- \frac{3}{2}) : - \frac{15}{2}

5 (- \frac{3}{2})

Apply rule

a \cdot (- b) = - a \cdot b

5 (- \frac{3}{2}) = - 5 \cdot \frac{3}{2}

Convert element to fraction:

5 = \frac{5}{1}

= - \frac{5}{1} \cdot \frac{3}{2}

Apply the fraction rule:

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

\frac{5}{1} \cdot \frac{3}{2} = \frac{5 \cdot 3}{1 \cdot 2}

= - \frac{5 \cdot 3}{1 \cdot 2}

Multiply the numbers:

5 \cdot 3 = 15

= - \frac{15}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{15}{2}

= \frac{15}{2} - \frac{15}{2}

Add and subtract (left to right)

\frac{15}{2} - \frac{15}{2} : 0

\frac{15}{2} - \frac{15}{2}

\frac{15}{2} - \frac{15}{2} = 0

= 0

= 0

3 (2 \times + 5)

- 15 (- 2) \div (- 3) \times (- 2)

8 - [- (3 - 4 + 8) - 7] + 3 - (1 + 5)

\frac{1 ^{2} - 1}{2}

2 - 3 (\frac{1}{2})