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Andreyy89
3 years ago
8

What is 33 percent of 400

Mathematics
2 answers:
Tanya [424]3 years ago
5 0

Answer:

132

Step-by-step explanation:

33/100*400=132

or

400*.33=132

Eduardwww [97]3 years ago
4 0
<h2>QUESTION</h2>

What is 33% of 400?

<h2>ANSWER AND EXPLANATION</h2>

To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.

<h3>DECIMAL</h3>

To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.

33 \% \rightarrow 0.33

Now that you have your decimal, multiply by 400:

0.33 \times 400 = 132

ANSWER = 132

<h3>FRACTION</h3>

To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.

33 \% \rightarrow \frac{33}{100}

Now that you have your fraction, multiply by 400:

\frac{33}{100} \times 400 = \frac{13200}{100} \rightarrow 132

ANSWER = 132

<em>If you have any questions, feel free to ask in the comments! :)</em>

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Convert the decimal to a fraction in simplest form:
Shkiper50 [21]

Answer:

Decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

Step-by-step explanation:

Given the decimal

0.333

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There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

0.333=\frac{0.333\cdot \:\:1000}{1000}

         =\frac{333}{1000}         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction \frac{333}{1000}

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

<u>Greatest Common Divisor (GCD) : </u>

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

  • As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

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