What is 1/3 (5)^2-4 ?

The solution to 1/3 (5)^2-4 is 4 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/3 (5)^2-4

Solution

\frac{1}{3} (5)^{2} - 4

Solution

4 \frac{1}{3}

Solution steps

\frac{1}{3} (5)^{2} - 4

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= \frac{1}{3} \cdot 25 - 4

Multiply and divide (left to right)

\frac{1}{3} \cdot 25 : \frac{25}{3}

\frac{1}{3} \cdot 25

Convert element to fraction:

25 = \frac{25}{1}

= \frac{1}{3} \cdot \frac{25}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 25}{3 \cdot 1}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{25}{3}

= \frac{25}{3} - 4

Add and subtract (left to right)

\frac{25}{3} - 4 : \frac{13}{3}

\frac{25}{3} - 4

\frac{25}{3} - 4 = \frac{13}{3}

\frac{25}{3} - 4

Convert element to fraction:

4 = \frac{4 \cdot 3}{3}

= - \frac{4 \cdot 3}{3} + \frac{25}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 4 \cdot 3 + 25}{3}

- 4 \cdot 3 + 25 = 13

- 4 \cdot 3 + 25

Multiply the numbers:

4 \cdot 3 = 12

= - 12 + 25

Add/Subtract the numbers:

- 12 + 25 = 13

= 13

= \frac{13}{3}

= \frac{13}{3}

= \frac{13}{3}

Convert improper fractions to mixed numbers:

\frac{13}{3} = 4 \frac{1}{3}

\frac{13}{3} = 4

Remainder

1

\frac{13}{3}

Write the problem in long division format

3 \overline{∣ 13}

Divide

13

3

to get

4

Divide

13

3

to get

4

4 3 \overline{∣ 13}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 13} \underline{12}

Subtract

12

from

13

4 3 \overline{∣ 13} \underline{12} 1

4 3 \overline{∣ 13} \underline{12} 1

The solution for Long Division of

\frac{13}{3}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{13}{3} = 4 \frac{1}{3}

= 4 \frac{1}{3}

= 4 \frac{1}{3}

Popular Examples

[(8\div 2+6)-4]+[3-2(5)]

[(8 \div 2 + 6) - 4] + [3 - 2 (5)]

(2+0-7-7-5-7-5+1+2-5)/(10)

\frac{2 + 0 - 7 - 7 - 5 - 7 - 5 + 1 + 2 - 5}{10}

8+(-25)+16(-25)-16

8 + (- 25) + 16 (- 25) - 16

(6*(-2+1))/(-2)

\frac{6 \cdot ( - 2 + 1 )}{- 2}

-3(0-2)^2+18

- 3 (0 - 2)^{2} + 18

Frequently Asked Questions (FAQ)

What is 1/3 (5)^2-4 ?
The solution to 1/3 (5)^2-4 is 4 1/3