What is 3(2/3+5-1)+3/5+12 ?

The solution to 3(2/3+5-1)+3/5+12 is 26 3/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

3(2/3+5-1)+3/5+12

Solution

3 (\frac{2}{3} + 5 - 1) + \frac{3}{5} + 12

Solution

26 \frac{3}{5}

Decimal

26.6

Solution steps

3 (\frac{2}{3} + 5 - 1) + \frac{3}{5} + 12

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{2}{3} + 5 - 1) : \frac{14}{3}

\frac{2}{3} + 5 - 1

Add and subtract (left to right)

\frac{2}{3} + 5 = \frac{17}{3}

\frac{2}{3} + 5

Convert element to fraction:

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

= \frac{5 \cdot 3}{3} + \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 3 + 2}{3}

5 \cdot 3 + 2 = 17

5 \cdot 3 + 2

Multiply the numbers:

5 \cdot 3 = 15

= 15 + 2

Add the numbers:

15 + 2 = 17

= 17

= \frac{17}{3}

= \frac{17}{3} - 1

\frac{17}{3} - 1 = \frac{14}{3}

\frac{17}{3} - 1

Convert element to fraction:

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

= - \frac{1 \cdot 3}{3} + \frac{17}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 1 \cdot 3 + 17}{3}

- 1 \cdot 3 + 17 = 14

- 1 \cdot 3 + 17

Multiply the numbers:

1 \cdot 3 = 3

= - 3 + 17

Add/Subtract the numbers:

- 3 + 17 = 14

= 14

= \frac{14}{3}

= \frac{14}{3}

= 3 \cdot \frac{14}{3} + \frac{3}{5} + 12

Multiply and divide (left to right)

3 \cdot \frac{14}{3} : 14

3 \cdot \frac{14}{3}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{14}{3}

Cross-cancel common factor:

3

= \frac{14}{1}

Divide the numbers:

\frac{14}{1} = 14

= 14

= 14 + \frac{3}{5} + 12

Add and subtract (left to right)

14 + \frac{3}{5} + 12 : \frac{133}{5}

14 + \frac{3}{5} + 12

14 + \frac{3}{5} = \frac{73}{5}

14 + \frac{3}{5}

Convert element to fraction:

14 = \frac{14 \cdot 5}{5}

= \frac{14 \cdot 5}{5} + \frac{3}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{14 \cdot 5 + 3}{5}

14 \cdot 5 + 3 = 73

14 \cdot 5 + 3

Multiply the numbers:

14 \cdot 5 = 70

= 70 + 3

Add the numbers:

70 + 3 = 73

= 73

= \frac{73}{5}

= \frac{73}{5} + 12

\frac{73}{5} + 12 = \frac{133}{5}

\frac{73}{5} + 12

Convert element to fraction:

12 = \frac{12 \cdot 5}{5}

= \frac{12 \cdot 5}{5} + \frac{73}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{12 \cdot 5 + 73}{5}

12 \cdot 5 + 73 = 133

12 \cdot 5 + 73

Multiply the numbers:

12 \cdot 5 = 60

= 60 + 73

Add the numbers:

60 + 73 = 133

= 133

= \frac{133}{5}

= \frac{133}{5}

= \frac{133}{5}

Convert improper fractions to mixed numbers:

\frac{133}{5} = 26 \frac{3}{5}

\frac{133}{5} = 26

Remainder

3

\frac{133}{5}

Write the problem in long division format

5 \overline{∣ 133}

Divide

13

5

to get

2

Divide

13

5

to get

2

2 5 \overline{∣ 133}

Multiply the quotient digit

(2)

by the divisor

5

2 5 \overline{∣ 133} \underline{10}

Subtract

10

from

13

2 5 \overline{∣ 133} \underline{10} 3

Bring down the next number of the dividend

2 5 \overline{∣ 133} \underline{10} 33

2 5 \overline{∣ 133} \underline{10} 33

Divide

33

5

to get

6

Divide

33

5

to get

6

26 5 \overline{∣ 133} \underline{10} 33

Multiply the quotient digit

(6)

by the divisor

5

26 5 \overline{∣ 133} \underline{10} 33 \underline{30}

Subtract

30

from

33

26 5 \overline{∣ 133} \underline{10} 33 \underline{30} 3

26 5 \overline{∣ 133} \underline{10} 33 \underline{30} 3

The solution for Long Division of

\frac{133}{5}

26

with remainder of

3

26 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{133}{5} = 26 \frac{3}{5}

= 26 \frac{3}{5}

= 26 \frac{3}{5}

Popular Examples

Frequently Asked Questions (FAQ)

What is 3(2/3+5-1)+3/5+12 ?
The solution to 3(2/3+5-1)+3/5+12 is 26 3/5

3(2/3+5-1)+3/5+12

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3(2/3+5-1)+3/5+12 ?

Popular topics