What is 200-1/3*100 ?

The solution to 200-1/3*100 is 166 2/3

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Popular Pre Algebra >

200-1/3*100

Solution

200 - \frac{1}{3} \cdot 100

Solution

166 \frac{2}{3}

Decimal

166.66666 \dots

Solution steps

200 - \frac{1}{3} \cdot 100

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} \cdot 100 : \frac{100}{3}

\frac{1}{3} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{1}{3} \cdot \frac{100}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 100}{3 \cdot 1}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{100}{3}

= 200 - \frac{100}{3}

Add and subtract (left to right)

200 - \frac{100}{3} : \frac{500}{3}

200 - \frac{100}{3}

200 - \frac{100}{3} = \frac{500}{3}

200 - \frac{100}{3}

Convert element to fraction:

200 = \frac{200 \cdot 3}{3}

= \frac{200 \cdot 3}{3} - \frac{100}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{200 \cdot 3 - 100}{3}

200 \cdot 3 - 100 = 500

200 \cdot 3 - 100

Multiply the numbers:

200 \cdot 3 = 600

= 600 - 100

Subtract the numbers:

600 - 100 = 500

= 500

= \frac{500}{3}

= \frac{500}{3}

= \frac{500}{3}

Convert improper fractions to mixed numbers:

\frac{500}{3} = 166 \frac{2}{3}

\frac{500}{3} = 166

Remainder

2

\frac{500}{3}

Write the problem in long division format

3 \overline{∣ 500}

Divide

5

3

to get

1

Divide

5

3

to get

1

1 3 \overline{∣ 500}

Multiply the quotient digit

(1)

by the divisor

3

1 3 \overline{∣ 500} \underline{3}

Subtract

3

from

5

1 3 \overline{∣ 500} \underline{3} 2

Bring down the next number of the dividend

1 3 \overline{∣ 500} \underline{3} 20

1 3 \overline{∣ 500} \underline{3} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

16 3 \overline{∣ 500} \underline{3} 20

Multiply the quotient digit

(6)

by the divisor

3

16 3 \overline{∣ 500} \underline{3} 20 \underline{18}

Subtract

18

from

20

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 2

Bring down the next number of the dividend

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

16 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20

Multiply the quotient digit

(6)

by the divisor

3

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18}

Subtract

18

from

20

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18} 2

166 3 \overline{∣ 500} \underline{3} 20 \underline{18} 20 \underline{18} 2

The solution for Long Division of

\frac{500}{3}

166

with remainder of

2

166 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{500}{3} = 166 \frac{2}{3}

= 166 \frac{2}{3}

= 166 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 200-1/3*100 ?
The solution to 200-1/3*100 is 166 2/3

200-1/3*100

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 200-1/3*100 ?

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