What is 2/3 × 22/7 × 7^3 ?

The solution to 2/3 × 22/7 × 7^3 is 718 2/3

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Popular Pre Algebra >

2/3 × 22/7 × 7^3

Solution

\frac{2}{3} \cdot \frac{22}{7} \cdot 7^{3}

Solution

718 \frac{2}{3}

Decimal

718.66666 \dots

Solution steps

\frac{2}{3} \cdot \frac{22}{7} \cdot 7^{3}

Follow the PEMDAS order of operations

Calculate exponents

7^{3} : 343

7^{3}

7^{3} = 343

= 343

= \frac{2}{3} \cdot \frac{22}{7} \cdot 343

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{22}{7} \cdot 343 : \frac{2156}{3}

\frac{2}{3} \cdot \frac{22}{7} \cdot 343

\frac{2}{3} \cdot \frac{22}{7} = \frac{44}{21}

\frac{2}{3} \cdot \frac{22}{7}

Apply the fraction rule:

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

= \frac{2 \cdot 22}{3 \cdot 7}

Multiply the numbers:

2 \cdot 22 = 44

= \frac{44}{3 \cdot 7}

Multiply the numbers:

3 \cdot 7 = 21

= \frac{44}{21}

= \frac{44}{21} \cdot 343

\frac{44}{21} \cdot 343 = \frac{2156}{3}

\frac{44}{21} \cdot 343

Convert element to fraction:

343 = \frac{343}{1}

= \frac{44}{21} \cdot \frac{343}{1}

Apply the fraction rule:

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

= \frac{44 \cdot 343}{21 \cdot 1}

Cancel

\frac{44 \cdot 343}{21 \cdot 1} : \frac{2156}{3}

\frac{44 \cdot 343}{21 \cdot 1}

Multiply the numbers:

21 \cdot 1 = 21

= \frac{44 \cdot 343}{21}

Factor the number:

343 = 7 \cdot 49

= \frac{44 \cdot 7 \cdot 49}{21}

Factor the number:

21 = 7 \cdot 3

= \frac{44 \cdot 7 \cdot 49}{7 \cdot 3}

Cancel the common factor:

7

= \frac{44 \cdot 49}{3}

Multiply the numbers:

44 \cdot 49 = 2156

= \frac{2156}{3}

= \frac{2156}{3}

= \frac{2156}{3}

= \frac{2156}{3}

Convert improper fractions to mixed numbers:

\frac{2156}{3} = 718 \frac{2}{3}

\frac{2156}{3} = 718

Remainder

2

\frac{2156}{3}

Write the problem in long division format

3 \overline{∣ 2156}

Divide

21

3

to get

7

Divide

21

3

to get

7

7 3 \overline{∣ 2156}

Multiply the quotient digit

(7)

by the divisor

3

7 3 \overline{∣ 2156} \underline{21}

Subtract

21

from

21

7 3 \overline{∣ 2156} \underline{21} 0

Bring down the next number of the dividend

7 3 \overline{∣ 2156} \underline{21} 05

7 3 \overline{∣ 2156} \underline{21} 05

Divide

5

3

to get

1

Divide

5

3

to get

1

71 3 \overline{∣ 2156} \underline{21} 05

Multiply the quotient digit

(1)

by the divisor

3

71 3 \overline{∣ 2156} \underline{21} 05 \underline{3}

Subtract

3

from

5

71 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 2

Bring down the next number of the dividend

71 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26

71 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26

Divide

26

3

to get

8

Divide

26

3

to get

8

718 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26

Multiply the quotient digit

(8)

by the divisor

3

718 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26 \underline{24}

Subtract

24

from

26

718 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26 \underline{24} 2

718 3 \overline{∣ 2156} \underline{21} 05 \underline{3} 26 \underline{24} 2

The solution for Long Division of

\frac{2156}{3}

718

with remainder of

2

718 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2156}{3} = 718 \frac{2}{3}

= 718 \frac{2}{3}

= 718 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 2/3 × 22/7 × 7^3 ?
The solution to 2/3 × 22/7 × 7^3 is 718 2/3

2/3 × 22/7 × 7^3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2/3 × 22/7 × 7^3 ?

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