What is (2000^2-81)/(2001× 1991) ?

The solution to (2000^2-81)/(2001× 1991) is 1 8/2001

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Popular Pre Algebra >

(2000^2-81)/(2001× 1991)

Solution

\frac{200 0 ^{2} - 81}{2001 \times 1991}

Solution

1 \frac{8}{2001}

Decimal

1.00399 \dots

Solution steps

\frac{200 0 ^{2} - 81}{2001 \cdot 1991}

Solve

200 0^{2} - 81 : 3999919

Follow the PEMDAS order of operations

Calculate exponents

200 0^{2} : 4000000

200 0^{2}

200 0^{2} = 4000000

= 4000000

= 4000000 - 81

Add and subtract (left to right)

4000000 - 81 : 3999919

4000000 - 81

4000000 - 81 = 3999919

= 3999919

= 3999919

Solve

2001 \cdot 1991 : 3983991

2001 \cdot 1991 = 3983991

= 3983991

= \frac{3999919}{3983991}

Simplify

\frac{3999919}{3983991} : 1 \frac{8}{2001}

Cancel the common factor:

1991

= \frac{2009}{2001}

Convert improper fractions to mixed numbers:

\frac{2009}{2001} = 1 \frac{8}{2001}

\frac{2009}{2001} = 1

Remainder

8

\frac{2009}{2001}

Write the problem in long division format

2001 \overline{∣ 2009}

Divide

2009

2001

to get

1

Divide

2009

2001

to get

1

1 2001 \overline{∣ 2009}

Multiply the quotient digit

(1)

by the divisor

2001

1 2001 \overline{∣ 2009} \underline{2001}

Subtract

2001

from

2009

1 2001 \overline{∣ 2009} \underline{2001} 8

1 2001 \overline{∣ 2009} \underline{2001} 8

The solution for Long Division of

\frac{2009}{2001}

1

with remainder of

8

1 Remainder 8

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2009}{2001} = 1 \frac{8}{2001}

= 1 \frac{8}{2001}

= 1 \frac{8}{2001}

= 1 \frac{8}{2001}

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Frequently Asked Questions (FAQ)

What is (2000^2-81)/(2001× 1991) ?
The solution to (2000^2-81)/(2001× 1991) is 1 8/2001

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