What is 3/2 \times 3+(-1) ?

The solution to 3/2 \times 3+(-1) is 3 1/2

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Popular >

3/2 \times 3+(-1)

Solution

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

Solution

3 \frac{1}{2}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{2} \cdot 3 : \frac{9}{2}

\frac{3}{2} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{9}{2}

= \frac{9}{2} + (- 1)

Add and subtract (left to right)

\frac{9}{2} + (- 1) : \frac{7}{2}

\frac{9}{2} + (- 1)

Apply rule

+ (- a) = - a

+ (- 1) = - 1

= \frac{9}{2} - 1

\frac{9}{2} - 1 = \frac{7}{2}

\frac{9}{2} - 1

Convert element to fraction:

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

= - \frac{1 \cdot 2}{2} + \frac{9}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 2 + 9}{2}

- 1 \cdot 2 + 9 = 7

- 1 \cdot 2 + 9

Multiply the numbers:

1 \cdot 2 = 2

= - 2 + 9

Add/Subtract the numbers:

- 2 + 9 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

\frac{7}{2} = 3

Remainder

1

\frac{7}{2}

Write the problem in long division format

2 \overline{∣ 7}

Divide

7

2

to get

3

Divide

7

2

to get

3

3 2 \overline{∣ 7}

Multiply the quotient digit

(3)

by the divisor

2

3 2 \overline{∣ 7} \underline{6}

Subtract

6

from

7

3 2 \overline{∣ 7} \underline{6} 1

3 2 \overline{∣ 7} \underline{6} 1

The solution for Long Division of

\frac{7}{2}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

= 3 \frac{1}{2}

Popular Examples

6+[19-(15-7)]\times 28\div 7

6 + [19 - (15 - 7)] \times 28 \div 7

[(-225)\div 15]-(-85)

[(- 225) \div 15] - (- 85)

(2)^2+2(2)+3

(2)^{2} + 2 (2) + 3

(2)^2+2(2)-8

(2)^{2} + 2 (2) - 8

3\times 8-4

3 \times 8 - 4

Frequently Asked Questions (FAQ)

What is 3/2 \times 3+(-1) ?
The solution to 3/2 \times 3+(-1) is 3 1/2