What is 250\div 6+19\times 2-14 ?

The solution to 250\div 6+19\times 2-14 is 65 2/3

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Popular >

250\div 6+19\times 2-14

Solution

250 \div 6 + 19 \times 2 - 14

Solution

65 \frac{2}{3}

Solution steps

250 \div 6 + 19 \times 2 - 14

Follow the PEMDAS order of operations

Multiply and divide (left to right)

250 \div 6 : \frac{250}{6}

250 \div 6

250 \div 6 = \frac{250}{6}

= \frac{250}{6}

= \frac{250}{6} + 19 \times 2 - 14

Multiply and divide (left to right)

19 \times 2 : 38

19 \times 2

19 \times 2 = 38

= 38

= \frac{250}{6} + 38 - 14

Add and subtract (left to right)

\frac{250}{6} + 38 - 14 : \frac{197}{3}

\frac{250}{6} + 38 - 14

\frac{250}{6} + 38 = \frac{239}{3}

\frac{250}{6} + 38

Cancel

\frac{250}{6} : \frac{125}{3}

\frac{250}{6}

Cancel the common factor:

2

= \frac{125}{3}

= \frac{125}{3} + 38

Convert element to fraction:

38 = \frac{38 \cdot 3}{3}

= \frac{38 \cdot 3}{3} + \frac{125}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{38 \cdot 3 + 125}{3}

38 \cdot 3 + 125 = 239

38 \cdot 3 + 125

Multiply the numbers:

38 \cdot 3 = 114

= 114 + 125

Add the numbers:

114 + 125 = 239

= 239

= \frac{239}{3}

= \frac{239}{3} - 14

\frac{239}{3} - 14 = \frac{197}{3}

\frac{239}{3} - 14

Convert element to fraction:

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

= - \frac{14 \cdot 3}{3} + \frac{239}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 14 \cdot 3 + 239}{3}

- 14 \cdot 3 + 239 = 197

- 14 \cdot 3 + 239

Multiply the numbers:

14 \cdot 3 = 42

= - 42 + 239

Add/Subtract the numbers:

- 42 + 239 = 197

= 197

= \frac{197}{3}

= \frac{197}{3}

= \frac{197}{3}

Convert improper fractions to mixed numbers:

\frac{197}{3} = 65 \frac{2}{3}

\frac{197}{3} = 65

Remainder

2

\frac{197}{3}

Write the problem in long division format

3 \overline{∣ 197}

Divide

19

3

to get

6

Divide

19

3

to get

6

6 3 \overline{∣ 197}

Multiply the quotient digit

(6)

by the divisor

3

6 3 \overline{∣ 197} \underline{18}

Subtract

18

from

19

6 3 \overline{∣ 197} \underline{18} 1

Bring down the next number of the dividend

6 3 \overline{∣ 197} \underline{18} 17

6 3 \overline{∣ 197} \underline{18} 17

Divide

17

3

to get

5

Divide

17

3

to get

5

65 3 \overline{∣ 197} \underline{18} 17

Multiply the quotient digit

(5)

by the divisor

3

65 3 \overline{∣ 197} \underline{18} 17 \underline{15}

Subtract

15

from

17

65 3 \overline{∣ 197} \underline{18} 17 \underline{15} 2

65 3 \overline{∣ 197} \underline{18} 17 \underline{15} 2

The solution for Long Division of

\frac{197}{3}

65

with remainder of

2

65 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{197}{3} = 65 \frac{2}{3}

= 65 \frac{2}{3}

= 65 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 250\div 6+19\times 2-14 ?
The solution to 250\div 6+19\times 2-14 is 65 2/3