What is 38^2-17^2\div 47^2-361 ?

The solution to 38^2-17^2\div 47^2-361 is 1082 1920/2209

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Popular Pre Algebra >

38^2-17^2\div 47^2-361

Solution

3 8^{2} - 1 7^{2} \div 4 7^{2} - 361

Solution

1082 \frac{1920}{2209}

Decimal

1082.86917 \dots

Solution steps

3 8^{2} - 1 7^{2} \div 4 7^{2} - 361

Follow the PEMDAS order of operations

Calculate exponents

3 8^{2} : 1444

3 8^{2}

3 8^{2} = 1444

= 1444

= 1444 - 1 7^{2} \div 4 7^{2} - 361

Calculate exponents

1 7^{2} : 289

1 7^{2}

1 7^{2} = 289

= 289

= 1444 - 289 \div 4 7^{2} - 361

Calculate exponents

4 7^{2} : 2209

4 7^{2}

4 7^{2} = 2209

= 2209

= 1444 - 289 \div 2209 - 361

Multiply and divide (left to right)

289 \div 2209 : \frac{289}{2209}

289 \div 2209

289 \div 2209 = \frac{289}{2209}

= \frac{289}{2209}

= 1444 - \frac{289}{2209} - 361

Add and subtract (left to right)

1444 - \frac{289}{2209} - 361 : \frac{2392058}{2209}

1444 - \frac{289}{2209} - 361

1444 - \frac{289}{2209} = \frac{3189507}{2209}

1444 - \frac{289}{2209}

Convert element to fraction:

1444 = \frac{1444 \cdot 2209}{2209}

= \frac{1444 \cdot 2209}{2209} - \frac{289}{2209}

Since the denominators are equal, combine the fractions:

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

= \frac{1444 \cdot 2209 - 289}{2209}

1444 \cdot 2209 - 289 = 3189507

1444 \cdot 2209 - 289

Multiply the numbers:

1444 \cdot 2209 = 3189796

= 3189796 - 289

Subtract the numbers:

3189796 - 289 = 3189507

= 3189507

= \frac{3189507}{2209}

= \frac{3189507}{2209} - 361

\frac{3189507}{2209} - 361 = \frac{2392058}{2209}

\frac{3189507}{2209} - 361

Convert element to fraction:

361 = \frac{361 \cdot 2209}{2209}

= - \frac{361 \cdot 2209}{2209} + \frac{3189507}{2209}

Since the denominators are equal, combine the fractions:

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

= \frac{- 361 \cdot 2209 + 3189507}{2209}

- 361 \cdot 2209 + 3189507 = 2392058

- 361 \cdot 2209 + 3189507

Multiply the numbers:

361 \cdot 2209 = 797449

= - 797449 + 3189507

Add/Subtract the numbers:

- 797449 + 3189507 = 2392058

= 2392058

= \frac{2392058}{2209}

= \frac{2392058}{2209}

= \frac{2392058}{2209}

Convert improper fractions to mixed numbers:

\frac{2392058}{2209} = 1082 \frac{1920}{2209}

\frac{2392058}{2209} = 1082

Remainder

1920

\frac{2392058}{2209}

Write the problem in long division format

2209 \overline{∣ 2392058}

Divide

2392

2209

to get

1

Divide

2392

2209

to get

1

1 2209 \overline{∣ 2392058}

Multiply the quotient digit

(1)

by the divisor

2209

1 2209 \overline{∣ 2392058} \underline{2209}

Subtract

2209

from

2392

1 2209 \overline{∣ 2392058} \underline{2209} 183

Bring down the next number of the dividend

1 2209 \overline{∣ 2392058} \underline{2209} 1830

1 2209 \overline{∣ 2392058} \underline{2209} 1830

Divide

1830

2209

to get

0

Divide

1830

2209

to get

0

10 2209 \overline{∣ 2392058} \underline{2209} 1830

Multiply the quotient digit

(0)

by the divisor

2209

10 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0}

Subtract

0

from

1830

10 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 1830

Bring down the next number of the dividend

10 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305

10 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305

Divide

18305

2209

to get

8

Divide

18305

2209

to get

8

108 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305

Multiply the quotient digit

(8)

by the divisor

2209

108 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672}

Subtract

17672

from

18305

108 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 633

Bring down the next number of the dividend

108 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338

108 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338

Divide

6338

2209

to get

2

Divide

6338

2209

to get

2

1082 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338

Multiply the quotient digit

(2)

by the divisor

2209

1082 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338 \underline{4418}

Subtract

4418

from

6338

1082 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338 \underline{4418} 1920

1082 2209 \overline{∣ 2392058} \underline{2209} 1830 \underline{0} 18305 \underline{17672} 6338 \underline{4418} 1920

The solution for Long Division of

\frac{2392058}{2209}

1082

with remainder of

1920

1082 Remainder 1920

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2392058}{2209} = 1082 \frac{1920}{2209}

= 1082 \frac{1920}{2209}

= 1082 \frac{1920}{2209}

Popular Examples

19+{[(-4)-(-2)]+6}+(-7)

Frequently Asked Questions (FAQ)

What is 38^2-17^2\div 47^2-361 ?
The solution to 38^2-17^2\div 47^2-361 is 1082 1920/2209

38^2-17^2\div 47^2-361

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 38^2-17^2\div 47^2-361 ?

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