What is (72\div 3^2*2)/6 ?

The solution to (72\div 3^2*2)/6 is 2 2/3

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(72\div 3^2*2)/6

\frac{72 \div 3 ^{2} \cdot 2}{6}

2 \frac{2}{3}

Solution steps

\frac{72 \div 3 ^{2} \cdot 2}{6}

Solve

72 \div 3^{2} \cdot 2 : 16

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 72 \div 9 \cdot 2

Multiply and divide (left to right)

72 \div 9 \cdot 2 : 16

72 \div 9 \cdot 2

72 \div 9 = 8

= 8 \cdot 2

8 \cdot 2 = 16

= 16

= 16

= \frac{16}{6}

Simplify

\frac{16}{6} : 2 \frac{2}{3}

Cancel the common factor:

2

= \frac{8}{3}

Convert improper fractions to mixed numbers:

\frac{8}{3} = 2 \frac{2}{3}

\frac{8}{3} = 2

Remainder

2

\frac{8}{3}

Write the problem in long division format

3 \overline{∣ 8}

Divide

8

3

to get

2

Divide

8

3

to get

2

2 3 \overline{∣ 8}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 8} \underline{6}

Subtract

6

from

8

2 3 \overline{∣ 8} \underline{6} 2

2 3 \overline{∣ 8} \underline{6} 2

The solution for Long Division of

\frac{8}{3}

2

with remainder of

2

2 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{8}{3} = 2 \frac{2}{3}

= 2 \frac{2}{3}

= 2 \frac{2}{3}

= 2 \frac{2}{3}

8 \times 6 - 15 \times (- 7)

4 \times 7 (136 \div 8) - 6 + (27 - 9) \times 2

\frac{5 ^{15} - 1073741824}{5 ^{14}}

3 + 20 - 9 + 12

45 - 2 (6 + 4 \times 3)