What is 4/3 × 22/7 × 7^3 ?

The solution to 4/3 × 22/7 × 7^3 is 1437 1/3

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Popular Pre Algebra >

4/3 × 22/7 × 7^3

Solution

\frac{4}{3} \cdot \frac{22}{7} \cdot 7^{3}

Solution

1437 \frac{1}{3}

Decimal

1437.33333 \dots

Solution steps

\frac{4}{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{4}{3} \cdot \frac{22}{7} \cdot 343

Multiply and divide (left to right)

\frac{4}{3} \cdot \frac{22}{7} \cdot 343 : \frac{4312}{3}

\frac{4}{3} \cdot \frac{22}{7} \cdot 343

\frac{4}{3} \cdot \frac{22}{7} = \frac{88}{21}

\frac{4}{3} \cdot \frac{22}{7}

Apply the fraction rule:

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

= \frac{4 \cdot 22}{3 \cdot 7}

Multiply the numbers:

4 \cdot 22 = 88

= \frac{88}{3 \cdot 7}

Multiply the numbers:

3 \cdot 7 = 21

= \frac{88}{21}

= \frac{88}{21} \cdot 343

\frac{88}{21} \cdot 343 = \frac{4312}{3}

\frac{88}{21} \cdot 343

Convert element to fraction:

343 = \frac{343}{1}

= \frac{88}{21} \cdot \frac{343}{1}

Apply the fraction rule:

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

= \frac{88 \cdot 343}{21 \cdot 1}

Cancel

\frac{88 \cdot 343}{21 \cdot 1} : \frac{4312}{3}

\frac{88 \cdot 343}{21 \cdot 1}

Multiply the numbers:

21 \cdot 1 = 21

= \frac{88 \cdot 343}{21}

Factor the number:

343 = 7 \cdot 49

= \frac{88 \cdot 7 \cdot 49}{21}

Factor the number:

21 = 7 \cdot 3

= \frac{88 \cdot 7 \cdot 49}{7 \cdot 3}

Cancel the common factor:

7

= \frac{88 \cdot 49}{3}

Multiply the numbers:

88 \cdot 49 = 4312

= \frac{4312}{3}

= \frac{4312}{3}

= \frac{4312}{3}

= \frac{4312}{3}

Convert improper fractions to mixed numbers:

\frac{4312}{3} = 1437 \frac{1}{3}

\frac{4312}{3} = 1437

Remainder

1

\frac{4312}{3}

Write the problem in long division format

3 \overline{∣ 4312}

Divide

4

3

to get

1

Divide

4

3

to get

1

1 3 \overline{∣ 4312}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 4312} \underline{3}

Subtract

3

from

4

1 3 \overline{∣ 4312} \underline{3} 1

Bring down the next number of the dividend

1 3 \overline{∣ 4312} \underline{3} 13

1 3 \overline{∣ 4312} \underline{3} 13

Divide

13

3

to get

4

Divide

13

3

to get

4

14 3 \overline{∣ 4312} \underline{3} 13

Multiply the quotient digit

(4)

by the divisor

3

14 3 \overline{∣ 4312} \underline{3} 13 \underline{12}

Subtract

12

from

13

14 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 1

Bring down the next number of the dividend

14 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11

14 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11

Divide

11

3

to get

3

Divide

11

3

to get

3

143 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11

Multiply the quotient digit

(3)

by the divisor

3

143 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9}

Subtract

9

from

11

143 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 2

Bring down the next number of the dividend

143 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22

143 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22

Divide

22

3

to get

7

Divide

22

3

to get

7

1437 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22

Multiply the quotient digit

(7)

by the divisor

3

1437 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22 \underline{21}

Subtract

21

from

22

1437 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22 \underline{21} 1

1437 3 \overline{∣ 4312} \underline{3} 13 \underline{12} 11 \underline{9} 22 \underline{21} 1

The solution for Long Division of

\frac{4312}{3}

1437

with remainder of

1

1437 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{4312}{3} = 1437 \frac{1}{3}

= 1437 \frac{1}{3}

= 1437 \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 4/3 × 22/7 × 7^3 ?
The solution to 4/3 × 22/7 × 7^3 is 1437 1/3

4/3 × 22/7 × 7^3

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 4/3 × 22/7 × 7^3 ?

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