What is 13(31\div 3)-19 ?

The solution to 13(31\div 3)-19 is 115 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

13(31\div 3)-19

Solution

13 (31 \div 3) - 19

Solution

115 \frac{1}{3}

Decimal

115.33333 \dots

Solution steps

13 (31 \div 3) - 19

Follow the PEMDAS order of operations

Calculate within parentheses

(31 \div 3) : \frac{31}{3}

31 \div 3

31 \div 3 = \frac{31}{3}

= \frac{31}{3}

= 13 \cdot \frac{31}{3} - 19

Multiply and divide (left to right)

13 \cdot \frac{31}{3} : \frac{403}{3}

13 \cdot \frac{31}{3}

Convert element to fraction:

13 = \frac{13}{1}

= \frac{13}{1} \cdot \frac{31}{3}

Apply the fraction rule:

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

= \frac{13 \cdot 31}{1 \cdot 3}

Multiply the numbers:

13 \cdot 31 = 403

= \frac{403}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{403}{3}

= \frac{403}{3} - 19

Add and subtract (left to right)

\frac{403}{3} - 19 : \frac{346}{3}

\frac{403}{3} - 19

\frac{403}{3} - 19 = \frac{346}{3}

\frac{403}{3} - 19

Convert element to fraction:

19 = \frac{19 \cdot 3}{3}

= - \frac{19 \cdot 3}{3} + \frac{403}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 19 \cdot 3 + 403}{3}

- 19 \cdot 3 + 403 = 346

- 19 \cdot 3 + 403

Multiply the numbers:

19 \cdot 3 = 57

= - 57 + 403

Add/Subtract the numbers:

- 57 + 403 = 346

= 346

= \frac{346}{3}

= \frac{346}{3}

= \frac{346}{3}

Convert improper fractions to mixed numbers:

\frac{346}{3} = 115 \frac{1}{3}

\frac{346}{3} = 115

Remainder

1

\frac{346}{3}

Write the problem in long division format

3 \overline{∣ 346}

Divide

3

3

to get

1

Divide

3

3

to get

1

1 3 \overline{∣ 346}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 346} \underline{3}

Subtract

3

from

3

1 3 \overline{∣ 346} \underline{3} 0

Bring down the next number of the dividend

1 3 \overline{∣ 346} \underline{3} 04

1 3 \overline{∣ 346} \underline{3} 04

Divide

4

3

to get

1

Divide

4

3

to get

1

11 3 \overline{∣ 346} \underline{3} 04

Multiply the quotient digit

(1)

by the divisor

3

11 3 \overline{∣ 346} \underline{3} 04 \underline{3}

Subtract

3

from

4

11 3 \overline{∣ 346} \underline{3} 04 \underline{3} 1

Bring down the next number of the dividend

11 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16

11 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16

Divide

16

3

to get

5

Divide

16

3

to get

5

115 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16

Multiply the quotient digit

(5)

by the divisor

3

115 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16 \underline{15}

Subtract

15

from

16

115 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16 \underline{15} 1

115 3 \overline{∣ 346} \underline{3} 04 \underline{3} 16 \underline{15} 1

The solution for Long Division of

\frac{346}{3}

115

with remainder of

1

115 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{346}{3} = 115 \frac{1}{3}

= 115 \frac{1}{3}

= 115 \frac{1}{3}

Popular Examples

Frequently Asked Questions (FAQ)

What is 13(31\div 3)-19 ?
The solution to 13(31\div 3)-19 is 115 1/3

13(31\div 3)-19

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 13(31\div 3)-19 ?

Popular topics