What is [(3^2-1/5)+5] ?

The solution to [(3^2-1/5)+5] is 13 4/5

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Popular >

[(3^2-1/5)+5]

Solution

[(3^{2} - \frac{1}{5}) + 5]

Solution

13 \frac{4}{5}

Solution steps

(3^{2} - \frac{1}{5}) + 5

Follow the PEMDAS order of operations

Calculate within parentheses

(3^{2} - \frac{1}{5}) : \frac{44}{5}

3^{2} - \frac{1}{5}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9 - \frac{1}{5}

Add and subtract (left to right)

9 - \frac{1}{5} : \frac{44}{5}

9 - \frac{1}{5}

9 - \frac{1}{5} = \frac{44}{5}

9 - \frac{1}{5}

Convert element to fraction:

9 = \frac{9 \cdot 5}{5}

= \frac{9 \cdot 5}{5} - \frac{1}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{9 \cdot 5 - 1}{5}

9 \cdot 5 - 1 = 44

9 \cdot 5 - 1

Multiply the numbers:

9 \cdot 5 = 45

= 45 - 1

Subtract the numbers:

45 - 1 = 44

= 44

= \frac{44}{5}

= \frac{44}{5}

= \frac{44}{5}

= \frac{44}{5} + 5

Add and subtract (left to right)

\frac{44}{5} + 5 : \frac{69}{5}

\frac{44}{5} + 5

\frac{44}{5} + 5 = \frac{69}{5}

\frac{44}{5} + 5

Convert element to fraction:

5 = \frac{5 \cdot 5}{5}

= \frac{5 \cdot 5}{5} + \frac{44}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{5 \cdot 5 + 44}{5}

5 \cdot 5 + 44 = 69

5 \cdot 5 + 44

Multiply the numbers:

5 \cdot 5 = 25

= 25 + 44

Add the numbers:

25 + 44 = 69

= 69

= \frac{69}{5}

= \frac{69}{5}

= \frac{69}{5}

Convert improper fractions to mixed numbers:

\frac{69}{5} = 13 \frac{4}{5}

\frac{69}{5} = 13

Remainder

4

\frac{69}{5}

Write the problem in long division format

5 \overline{∣ 69}

Divide

6

5

to get

1

Divide

6

5

to get

1

1 5 \overline{∣ 69}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 69} \underline{5}

Subtract

5

from

6

1 5 \overline{∣ 69} \underline{5} 1

Bring down the next number of the dividend

1 5 \overline{∣ 69} \underline{5} 19

1 5 \overline{∣ 69} \underline{5} 19

Divide

19

5

to get

3

Divide

19

5

to get

3

13 5 \overline{∣ 69} \underline{5} 19

Multiply the quotient digit

(3)

by the divisor

5

13 5 \overline{∣ 69} \underline{5} 19 \underline{15}

Subtract

15

from

19

13 5 \overline{∣ 69} \underline{5} 19 \underline{15} 4

13 5 \overline{∣ 69} \underline{5} 19 \underline{15} 4

The solution for Long Division of

\frac{69}{5}

13

with remainder of

4

13 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{69}{5} = 13 \frac{4}{5}

= 13 \frac{4}{5}

= 13 \frac{4}{5}

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2(-5)^2+3(-5)

2 (- 5)^{2} + 3 (- 5)

6(5)-3(4)-8(5)+2(4)-7(5)+2(4)

6 (5) - 3 (4) - 8 (5) + 2 (4) - 7 (5) + 2 (4)

10+2\times 6+4

10 + 2 \times 6 + 4

Frequently Asked Questions (FAQ)

What is [(3^2-1/5)+5] ?
The solution to [(3^2-1/5)+5] is 13 4/5