What is 4/3 (8)(6)^2\div 9 ?

The solution to 4/3 (8)(6)^2\div 9 is 42 2/3

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Popular >

4/3 (8)(6)^2\div 9

Solution

\frac{4}{3} (8) (6)^{2} \div 9

Solution

42 \frac{2}{3}

Solution steps

\frac{4}{3} (8) (6)^{2} \div 9

Follow the PEMDAS order of operations

Calculate exponents

(6)^{2} : 36

(6)^{2}

(6)^{2} = 36

= 36

= \frac{4}{3} (8) \cdot 36 \div 9

Multiply and divide (left to right)

\frac{4}{3} (8) \cdot 36 \div 9 : \frac{384}{9}

\frac{4}{3} (8) \cdot 36 \div 9

\frac{4}{3} (8) = \frac{32}{3}

\frac{4}{3} (8)

Apply rule:

(a) = a

(8) = 8

= \frac{4}{3} \cdot 8

\frac{4}{3} \cdot 8 = \frac{32}{3}

\frac{4}{3} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{4}{3} \cdot \frac{8}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 8}{3 \cdot 1}

Multiply the numbers:

4 \cdot 8 = 32

= \frac{32}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{32}{3}

= \frac{32}{3}

= \frac{32}{3} \cdot 36 \div 9

\frac{32}{3} 36 = 384

\frac{32}{3} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{32}{3} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{32 \cdot 36}{3 \cdot 1}

Cancel

\frac{32 \cdot 36}{3 \cdot 1} : 384

\frac{32 \cdot 36}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{32 \cdot 36}{3}

Divide the numbers:

\frac{36}{3} = 12

= 32 \cdot 12

Multiply the numbers:

32 \cdot 12 = 384

= 384

= 384

= 384 \div 9

384 \div 9 = \frac{384}{9}

= \frac{384}{9}

= \frac{384}{9}

Simplify

\frac{384}{9} : 42 \frac{2}{3}

Cancel the common factor:

3

= \frac{128}{3}

Convert improper fractions to mixed numbers:

\frac{128}{3} = 42 \frac{2}{3}

\frac{128}{3} = 42

Remainder

2

\frac{128}{3}

Write the problem in long division format

3 \overline{∣ 128}

Divide

12

3

to get

4

Divide

12

3

to get

4

4 3 \overline{∣ 128}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 128} \underline{12}

Subtract

12

from

12

4 3 \overline{∣ 128} \underline{12} 0

Bring down the next number of the dividend

4 3 \overline{∣ 128} \underline{12} 08

4 3 \overline{∣ 128} \underline{12} 08

Divide

8

3

to get

2

Divide

8

3

to get

2

42 3 \overline{∣ 128} \underline{12} 08

Multiply the quotient digit

(2)

by the divisor

3

42 3 \overline{∣ 128} \underline{12} 08 \underline{6}

Subtract

6

from

8

42 3 \overline{∣ 128} \underline{12} 08 \underline{6} 2

42 3 \overline{∣ 128} \underline{12} 08 \underline{6} 2

The solution for Long Division of

\frac{128}{3}

42

with remainder of

2

42 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{128}{3} = 42 \frac{2}{3}

= 42 \frac{2}{3}

= 42 \frac{2}{3}

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50 - 4 \times 6 + 3 \times 5 - 9 \div 3

6\times 4\div 12+72\div 8-9

6 \times 4 \div 12 + 72 \div 8 - 9

Frequently Asked Questions (FAQ)

What is 4/3 (8)(6)^2\div 9 ?
The solution to 4/3 (8)(6)^2\div 9 is 42 2/3