What is 6\div 9+5× 6 ?

The solution to 6\div 9+5× 6 is 30 2/3

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Popular Pre Algebra >

6\div 9+5× 6

Solution

6 \div 9 + 5 \times 6

Solution

30 \frac{2}{3}

Decimal

30.66666 \dots

Solution steps

6 \div 9 + 5 \times 6

Follow the PEMDAS order of operations

Multiply and divide (left to right)

6 \div 9 : \frac{6}{9}

6 \div 9

6 \div 9 = \frac{6}{9}

= \frac{6}{9}

= \frac{6}{9} + 5 \times 6

Multiply and divide (left to right)

5 \times 6 : 30

5 \times 6

5 \times 6 = 30

= 30

= \frac{6}{9} + 30

Add and subtract (left to right)

\frac{6}{9} + 30 : \frac{92}{3}

\frac{6}{9} + 30

\frac{6}{9} + 30 = \frac{92}{3}

\frac{6}{9} + 30

Cancel

\frac{6}{9} : \frac{2}{3}

\frac{6}{9}

Cancel the common factor:

3

= \frac{2}{3}

= \frac{2}{3} + 30

Convert element to fraction:

30 = \frac{30 \cdot 3}{3}

= \frac{30 \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{30 \cdot 3 + 2}{3}

30 \cdot 3 + 2 = 92

30 \cdot 3 + 2

Multiply the numbers:

30 \cdot 3 = 90

= 90 + 2

Add the numbers:

90 + 2 = 92

= 92

= \frac{92}{3}

= \frac{92}{3}

= \frac{92}{3}

Convert improper fractions to mixed numbers:

\frac{92}{3} = 30 \frac{2}{3}

\frac{92}{3} = 30

Remainder

2

\frac{92}{3}

Write the problem in long division format

3 \overline{∣ 92}

Divide

9

3

to get

3

Divide

9

3

to get

3

3 3 \overline{∣ 92}

Multiply the quotient digit

(3)

by the divisor

3

3 3 \overline{∣ 92} \underline{9}

Subtract

9

from

9

3 3 \overline{∣ 92} \underline{9} 0

Bring down the next number of the dividend

3 3 \overline{∣ 92} \underline{9} 02

3 3 \overline{∣ 92} \underline{9} 02

Divide

2

3

to get

0

Divide

2

3

to get

0

30 3 \overline{∣ 92} \underline{9} 02

Multiply the quotient digit

(0)

by the divisor

3

30 3 \overline{∣ 92} \underline{9} 02 \underline{0}

Subtract

0

from

2

30 3 \overline{∣ 92} \underline{9} 02 \underline{0} 2

30 3 \overline{∣ 92} \underline{9} 02 \underline{0} 2

The solution for Long Division of

\frac{92}{3}

30

with remainder of

2

30 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{92}{3} = 30 \frac{2}{3}

= 30 \frac{2}{3}

= 30 \frac{2}{3}

Popular Examples

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2(4(7+4(5× 3-9))-3(40-8))

5^7+5^6

(4-1)^2

2^3+2^2

Frequently Asked Questions (FAQ)

What is 6\div 9+5× 6 ?
The solution to 6\div 9+5× 6 is 30 2/3

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