What is (52/1000)*365*100 ?

The solution to (52/1000)*365*100 is 1898

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(52/1000)365100

(52/1000) \cdot 365 \cdot 100

1898

Solution steps

(52/1000) \cdot 365 \cdot 100

Follow the PEMDAS order of operations

Calculate within parentheses

(52/1000) : \frac{52}{1000}

52/1000

52/1000 = \frac{52}{1000}

= \frac{52}{1000}

= \frac{52}{1000} \cdot 365 \cdot 100

Multiply and divide (left to right)

\frac{52}{1000} \cdot 365 \cdot 100 : 1898

\frac{52}{1000} \cdot 365 \cdot 100

\frac{52}{1000} \cdot 365 = \frac{949}{50}

\frac{52}{1000} \cdot 365

Cancel

\frac{52}{1000} : \frac{13}{250}

\frac{52}{1000}

Factor the number:

52 = 4 \cdot 13

= \frac{4 \cdot 13}{1000}

Factor the number:

1000 = 4 \cdot 250

= \frac{4 \cdot 13}{4 \cdot 250}

Cancel the common factor:

4

= \frac{13}{250}

= \frac{13}{250} \cdot 365

\frac{13}{250} \cdot 365 = \frac{949}{50}

\frac{13}{250} \cdot 365

Convert element to fraction:

365 = \frac{365}{1}

= \frac{13}{250} \cdot \frac{365}{1}

Apply the fraction rule:

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

= \frac{13 \cdot 365}{250 \cdot 1}

Cancel

\frac{13 \cdot 365}{250 \cdot 1} : \frac{949}{50}

\frac{13 \cdot 365}{250 \cdot 1}

Multiply the numbers:

250 \cdot 1 = 250

= \frac{13 \cdot 365}{250}

Factor the number:

365 = 5 \cdot 73

= \frac{13 \cdot 5 \cdot 73}{250}

Factor the number:

250 = 5 \cdot 50

= \frac{13 \cdot 5 \cdot 73}{5 \cdot 50}

Cancel the common factor:

5

= \frac{13 \cdot 73}{50}

Multiply the numbers:

13 \cdot 73 = 949

= \frac{949}{50}

= \frac{949}{50}

= \frac{949}{50}

= \frac{949}{50} \cdot 100

\frac{949}{50} \cdot 100 = 1898

\frac{949}{50} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{949}{50} \cdot \frac{100}{1}

Apply the fraction rule:

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

= \frac{949 \cdot 100}{50 \cdot 1}

Cancel

\frac{949 \cdot 100}{50 \cdot 1} : 1898

\frac{949 \cdot 100}{50 \cdot 1}

Multiply the numbers:

50 \cdot 1 = 50

= \frac{949 \cdot 100}{50}

Divide the numbers:

\frac{100}{50} = 2

= 949 \cdot 2

Multiply the numbers:

949 \cdot 2 = 1898

= 1898

= 1898

= 1898

= 1898

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