The solution to 6^2-15-1/3 is 20 2/3

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Popular Pre Algebra >

6^2-15-1/3

Solution

6^{2} - 15 - \frac{1}{3}

Solution

20 \frac{2}{3}

Decimal

20.66666 \dots

Solution steps

6^{2} - 15 - \frac{1}{3}

Follow the PEMDAS order of operations

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 36 - 15 - \frac{1}{3}

Add and subtract (left to right)

36 - 15 - \frac{1}{3} : \frac{62}{3}

36 - 15 - \frac{1}{3}

36 - 15 = 21

= 21 - \frac{1}{3}

21 - \frac{1}{3} = \frac{62}{3}

21 - \frac{1}{3}

Convert element to fraction:

21 = \frac{21 \cdot 3}{3}

= \frac{21 \cdot 3}{3} - \frac{1}{3}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{21 \cdot 3 - 1}{3}

21 \cdot 3 - 1 = 62

21 \cdot 3 - 1

Multiply the numbers:

21 \cdot 3 = 63

= 63 - 1

Subtract the numbers:

63 - 1 = 62

= 62

= \frac{62}{3}

= \frac{62}{3}

= \frac{62}{3}

Convert improper fractions to mixed numbers:

\frac{62}{3} = 20 \frac{2}{3}

\frac{62}{3} = 20

Remainder

2

\frac{62}{3}

Write the problem in long division format

3 \overline{∣ 62}

Divide

6

3

to get

2

Divide

6

3

to get

2

2 3 \overline{∣ 62}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 62} \underline{6}

Subtract

6

from

6

2 3 \overline{∣ 62} \underline{6} 0

Bring down the next number of the dividend

2 3 \overline{∣ 62} \underline{6} 02

2 3 \overline{∣ 62} \underline{6} 02

Divide

2

3

to get

0

Divide

2

3

to get

0

20 3 \overline{∣ 62} \underline{6} 02

Multiply the quotient digit

(0)

by the divisor

3

20 3 \overline{∣ 62} \underline{6} 02 \underline{0}

Subtract

0

from

2

20 3 \overline{∣ 62} \underline{6} 02 \underline{0} 2

20 3 \overline{∣ 62} \underline{6} 02 \underline{0} 2

The solution for Long Division of

\frac{62}{3}

20

with remainder of

2

20 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{62}{3} = 20 \frac{2}{3}

= 20 \frac{2}{3}

= 20 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 6^2-15-1/3 ?
The solution to 6^2-15-1/3 is 20 2/3

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6^2-15-1/3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 6^2-15-1/3 ?

Popular topics