The solution to 5/3 (26)-3 is 40 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

5/3 (26)-3

Solution

\frac{5}{3} (26) - 3

Solution

40 \frac{1}{3}

Decimal

40.33333 \dots

Solution steps

\frac{5}{3} (26) - 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{3} (26) : \frac{130}{3}

\frac{5}{3} (26)

Apply rule:

(a) = a

(26) = 26

= \frac{5}{3} \cdot 26

\frac{5}{3} \cdot 26 = \frac{130}{3}

\frac{5}{3} \cdot 26

Convert element to fraction:

26 = \frac{26}{1}

= \frac{5}{3} \cdot \frac{26}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 26}{3 \cdot 1}

Multiply the numbers:

5 \cdot 26 = 130

= \frac{130}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{130}{3}

= \frac{130}{3}

= \frac{130}{3} - 3

Add and subtract (left to right)

\frac{130}{3} - 3 : \frac{121}{3}

\frac{130}{3} - 3

\frac{130}{3} - 3 = \frac{121}{3}

\frac{130}{3} - 3

Convert element to fraction:

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

= - \frac{3 \cdot 3}{3} + \frac{130}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 3 \cdot 3 + 130}{3}

- 3 \cdot 3 + 130 = 121

- 3 \cdot 3 + 130

Multiply the numbers:

3 \cdot 3 = 9

= - 9 + 130

Add/Subtract the numbers:

- 9 + 130 = 121

= 121

= \frac{121}{3}

= \frac{121}{3}

= \frac{121}{3}

Convert improper fractions to mixed numbers:

\frac{121}{3} = 40 \frac{1}{3}

\frac{121}{3} = 40

Remainder

1

\frac{121}{3}

Write the problem in long division format

3 \overline{∣ 121}

Divide

12

3

to get

4

Divide

12

3

to get

4

4 3 \overline{∣ 121}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 121} \underline{12}

Subtract

12

from

12

4 3 \overline{∣ 121} \underline{12} 0

Bring down the next number of the dividend

4 3 \overline{∣ 121} \underline{12} 01

4 3 \overline{∣ 121} \underline{12} 01

Divide

1

3

to get

0

Divide

1

3

to get

0

40 3 \overline{∣ 121} \underline{12} 01

Multiply the quotient digit

(0)

by the divisor

3

40 3 \overline{∣ 121} \underline{12} 01 \underline{0}

Subtract

0

from

1

40 3 \overline{∣ 121} \underline{12} 01 \underline{0} 1

40 3 \overline{∣ 121} \underline{12} 01 \underline{0} 1

The solution for Long Division of

\frac{121}{3}

40

with remainder of

1

40 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{121}{3} = 40 \frac{1}{3}

= 40 \frac{1}{3}

= 40 \frac{1}{3}

Popular Examples

(17-3)× (8-4)+54\div 2

4(-2)^3-6(-2)

(-3)-(-2)+(-6)[(-15)+18]

2/3-3/4+4/5-5/6+6/7

((5^9-5))/9

Frequently Asked Questions (FAQ)

What is 5/3 (26)-3 ?
The solution to 5/3 (26)-3 is 40 1/3

5/3 (26)-3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 5/3 (26)-3 ?

Popular topics