The solution to 1/2 (3)^2 is 4 1/2

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1/2 (3)^2

Solution

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

Solution

4 \frac{1}{2}

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(3)^{2} : 9

(3)^{2}

(3)^{2} = 9

= 9

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

Multiply and divide (left to right)

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

\frac{1}{2} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 9 = 9

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

Multiply the numbers:

2 \cdot 1 = 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}

Popular Examples

4^2+2

4^{2} + 2

2\times 3^0

2 \times 3^{0}

-(-6+4(2-5(4-3(4-3)+2(7-3)))+2)-1

- (- 6 + 4 (2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))) + 2) - 1

2^2*3

2^{2} \cdot 3

8+(-2)+3+5\times (-3)+(-7)

8 + (- 2) + 3 + 5 \times (- 3) + (- 7)

Frequently Asked Questions (FAQ)

What is 1/2 (3)^2 ?
The solution to 1/2 (3)^2 is 4 1/2

1/2 (3)^2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/2 (3)^2 ?