The solution to 4/3*7^3 is 457 1/3

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Popular Pre Algebra >

4/3*7^3

Solution

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

Solution

457 \frac{1}{3}

Decimal

457.33333 \dots

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

7^{3} : 343

7^{3}

7^{3} = 343

= 343

= \frac{4}{3} \cdot 343

Multiply and divide (left to right)

\frac{4}{3} \cdot 343 : \frac{1372}{3}

\frac{4}{3} \cdot 343

Convert element to fraction:

343 = \frac{343}{1}

= \frac{4}{3} \cdot \frac{343}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 343}{3 \cdot 1}

Multiply the numbers:

4 \cdot 343 = 1372

= \frac{1372}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{1372}{3}

= \frac{1372}{3}

Convert improper fractions to mixed numbers:

\frac{1372}{3} = 457 \frac{1}{3}

\frac{1372}{3} = 457

Remainder

1

\frac{1372}{3}

Write the problem in long division format

3 \overline{∣ 1372}

Divide

13

3

to get

4

Divide

13

3

to get

4

4 3 \overline{∣ 1372}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 1372} \underline{12}

Subtract

12

from

13

4 3 \overline{∣ 1372} \underline{12} 1

Bring down the next number of the dividend

4 3 \overline{∣ 1372} \underline{12} 17

4 3 \overline{∣ 1372} \underline{12} 17

Divide

17

3

to get

5

Divide

17

3

to get

5

45 3 \overline{∣ 1372} \underline{12} 17

Multiply the quotient digit

(5)

by the divisor

3

45 3 \overline{∣ 1372} \underline{12} 17 \underline{15}

Subtract

15

from

17

45 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 2

Bring down the next number of the dividend

45 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22

45 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22

Divide

22

3

to get

7

Divide

22

3

to get

7

457 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22

Multiply the quotient digit

(7)

by the divisor

3

457 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22 \underline{21}

Subtract

21

from

22

457 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22 \underline{21} 1

457 3 \overline{∣ 1372} \underline{12} 17 \underline{15} 22 \underline{21} 1

The solution for Long Division of

\frac{1372}{3}

457

with remainder of

1

457 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1372}{3} = 457 \frac{1}{3}

= 457 \frac{1}{3}

= 457 \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 4/3*7^3 ?
The solution to 4/3*7^3 is 457 1/3

4/3*7^3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 4/3*7^3 ?

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