What is 3\div 2(1+2) ?

The solution to 3\div 2(1+2) is 4 1/2

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3\div 2(1+2)

3 \div 2 (1 + 2)

4 \frac{1}{2}

Solution steps

3 \div 2 (1 + 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(1 + 2) : 3

1 + 2

1 + 2 = 3

= 3

= 3 \div 2 \cdot 3

Multiply and divide (left to right)

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

3 \div 2 \cdot 3

3 \div 2 = \frac{3}{2}

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

\frac{3}{2} 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}

= \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

\frac{9}{2} = 4

Remainder

1

\frac{9}{2}

Write the problem in long division format

2 \overline{∣ 9}

Divide

9

2

to get

4

Divide

9

2

to get

4

4 2 \overline{∣ 9}

Multiply the quotient digit

(4)

by the divisor

2

4 2 \overline{∣ 9} \underline{8}

Subtract

8

from

9

4 2 \overline{∣ 9} \underline{8} 1

4 2 \overline{∣ 9} \underline{8} 1

The solution for Long Division of

\frac{9}{2}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{9}{2} = 4 \frac{1}{2}

= 4 \frac{1}{2}

= 4 \frac{1}{2}

3 (2)^{2} - 2

3^{2} \cdot 4^{2}

- 3 (3)^{2}

\frac{6}{17} (5 - 4)^{2}

(12 + 15) - (3 + 2 + 1) - 4 - (1 + 2 - 6 + 7)