What is 1/3 7^2× 16 ?

The solution to 1/3 7^2× 16 is 261 1/3

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Popular Pre Algebra >

1/3 7^2× 16

Solution

\frac{1}{3} 7^{2} \times 16

Solution

261 \frac{1}{3}

Decimal

261.33333 \dots

Solution steps

\frac{1}{3} \cdot 7^{2} \cdot 16

Follow the PEMDAS order of operations

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= \frac{1}{3} \cdot 49 \cdot 16

Multiply and divide (left to right)

\frac{1}{3} \cdot 49 \cdot 16 : \frac{784}{3}

\frac{1}{3} \cdot 49 \cdot 16

\frac{1}{3} 49 = \frac{49}{3}

\frac{1}{3} \cdot 49

Convert element to fraction:

49 = \frac{49}{1}

= \frac{1}{3} \cdot \frac{49}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 49}{3 \cdot 1}

Multiply the numbers:

1 \cdot 49 = 49

= \frac{49}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{49}{3}

= \frac{49}{3} \cdot 16

\frac{49}{3} \cdot 16 = \frac{784}{3}

\frac{49}{3} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{49}{3} \cdot \frac{16}{1}

Apply the fraction rule:

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

= \frac{49 \cdot 16}{3 \cdot 1}

Multiply the numbers:

49 \cdot 16 = 784

= \frac{784}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{784}{3}

= \frac{784}{3}

= \frac{784}{3}

Convert improper fractions to mixed numbers:

\frac{784}{3} = 261 \frac{1}{3}

\frac{784}{3} = 261

Remainder

1

\frac{784}{3}

Write the problem in long division format

3 \overline{∣ 784}

Divide

7

3

to get

2

Divide

7

3

to get

2

2 3 \overline{∣ 784}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 784} \underline{6}

Subtract

6

from

7

2 3 \overline{∣ 784} \underline{6} 1

Bring down the next number of the dividend

2 3 \overline{∣ 784} \underline{6} 18

2 3 \overline{∣ 784} \underline{6} 18

Divide

18

3

to get

6

Divide

18

3

to get

6

26 3 \overline{∣ 784} \underline{6} 18

Multiply the quotient digit

(6)

by the divisor

3

26 3 \overline{∣ 784} \underline{6} 18 \underline{18}

Subtract

18

from

18

26 3 \overline{∣ 784} \underline{6} 18 \underline{18} 0

Bring down the next number of the dividend

26 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04

26 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04

Divide

4

3

to get

1

Divide

4

3

to get

1

261 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04

Multiply the quotient digit

(1)

by the divisor

3

261 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04 \underline{3}

Subtract

3

from

4

261 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04 \underline{3} 1

261 3 \overline{∣ 784} \underline{6} 18 \underline{18} 04 \underline{3} 1

The solution for Long Division of

\frac{784}{3}

261

with remainder of

1

261 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{784}{3} = 261 \frac{1}{3}

= 261 \frac{1}{3}

= 261 \frac{1}{3}

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What is 1/3 7^2× 16 ?
The solution to 1/3 7^2× 16 is 261 1/3

1/3 7^2× 16

Solution

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Popular Examples

Frequently Asked Questions (FAQ)

What is 1/3 7^2× 16 ?

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