en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

1/2 (4+5)^2

Solution

\frac{1}{2} (4 + 5)^{2}

Solution

40 \frac{1}{2}

+1

Decimal

40.5

Solution steps

\frac{1}{2} (4 + 5)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 + 5) : 9

4 + 5

4 + 5 = 9

= 9

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

Calculate exponents

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= \frac{1}{2} \cdot 81

Multiply and divide (left to right)

\frac{1}{2} \cdot 81 : \frac{81}{2}

\frac{1}{2} \cdot 81

Convert element to fraction:

81 = \frac{81}{1}

= \frac{1}{2} \cdot \frac{81}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 81}{2 \cdot 1}

Multiply the numbers:

1 \cdot 81 = 81

= \frac{81}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{81}{2}

= \frac{81}{2}

Convert improper fractions to mixed numbers:

\frac{81}{2} = 40 \frac{1}{2}

\frac{81}{2} = 40

Remainder

1

\frac{81}{2}

Write the problem in long division format

2 \overline{∣ 81}

Divide

8

by

2

to get

4

Divide

8

by

2

to get

4

4 2 \overline{∣ 81}

Multiply the quotient digit

(4)

by the divisor

2

4 2 \overline{∣ 81} \underline{8}

Subtract

8

from

8

4 2 \overline{∣ 81} \underline{8} 0

Bring down the next number of the dividend

4 2 \overline{∣ 81} \underline{8} 01

4 2 \overline{∣ 81} \underline{8} 01

Divide

1

by

2

to get

0

Divide

1

by

2

to get

0

40 2 \overline{∣ 81} \underline{8} 01

Multiply the quotient digit

(0)

by the divisor

2

40 2 \overline{∣ 81} \underline{8} 01 \underline{0}

Subtract

0

from

1

40 2 \overline{∣ 81} \underline{8} 01 \underline{0} 1

40 2 \overline{∣ 81} \underline{8} 01 \underline{0} 1

The solution for Long Division of

\frac{81}{2}

is

40

with remainder of

1

40 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{81}{2} = 40 \frac{1}{2}

= 40 \frac{1}{2}

= 40 \frac{1}{2}

Popular Examples

1/2 × 3× (5+7)

-(-3)+(-4)+5+(-2)

[9-(+5)]+[7+(-10)]

Frequently Asked Questions (FAQ)

What is 1/2 (4+5)^2 ?
The solution to 1/2 (4+5)^2 is 40 1/2

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator