What is ((170-61)^2)/(61) ?

The solution to ((170-61)^2)/(61) is 194 47/61

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Popular Pre Algebra >

((170-61)^2)/(61)

Solution

\frac{( 170 - 61 ) ^{2}}{61}

Solution

194 \frac{47}{61}

Decimal

194.77049 \dots

Solution steps

\frac{( 170 - 61 ) ^{2}}{61}

Solve

(170 - 61)^{2} : 11881

Follow the PEMDAS order of operations

Calculate within parentheses

(170 - 61) : 109

170 - 61

170 - 61 = 109

= 109

= 10 9^{2}

Calculate exponents

10 9^{2} : 11881

10 9^{2}

10 9^{2} = 11881

= 11881

= 11881

= \frac{11881}{61}

Convert improper fractions to mixed numbers:

\frac{11881}{61} = 194 \frac{47}{61}

\frac{11881}{61} = 194

Remainder

47

\frac{11881}{61}

Write the problem in long division format

61 \overline{∣ 11881}

Divide

118

61

to get

1

Divide

118

61

to get

1

1 61 \overline{∣ 11881}

Multiply the quotient digit

(1)

by the divisor

61

1 61 \overline{∣ 11881} \underline{61}

Subtract

61

from

118

1 61 \overline{∣ 11881} \underline{61} 57

Bring down the next number of the dividend

1 61 \overline{∣ 11881} \underline{61} 578

1 61 \overline{∣ 11881} \underline{61} 578

Divide

578

61

to get

9

Divide

578

61

to get

9

19 61 \overline{∣ 11881} \underline{61} 578

Multiply the quotient digit

(9)

by the divisor

61

19 61 \overline{∣ 11881} \underline{61} 578 \underline{549}

Subtract

549

from

578

19 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 29

Bring down the next number of the dividend

19 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291

19 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291

Divide

291

61

to get

4

Divide

291

61

to get

4

194 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291

Multiply the quotient digit

(4)

by the divisor

61

194 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291 \underline{244}

Subtract

244

from

291

194 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291 \underline{244} 47

194 61 \overline{∣ 11881} \underline{61} 578 \underline{549} 291 \underline{244} 47

The solution for Long Division of

\frac{11881}{61}

194

with remainder of

47

194 Remainder 47

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11881}{61} = 194 \frac{47}{61}

= 194 \frac{47}{61}

= 194 \frac{47}{61}

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Frequently Asked Questions (FAQ)

What is ((170-61)^2)/(61) ?
The solution to ((170-61)^2)/(61) is 194 47/61

((170-61)^2)/(61)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is ((170-61)^2)/(61) ?

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