What is (5*60*9)/(8*200) ?

The solution to (5*60*9)/(8*200) is 27/16

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simplify (5609)/(8*200)

simplify

\frac{5 \cdot 60 \cdot 9}{8 \cdot 200}

\frac{27}{16}

Decimal Notation

1.6875

Solution steps

\frac{5 \cdot 60 \cdot 9}{8 \cdot 200}

Factor the number:

200 = 5 \cdot 40

= \frac{5 \cdot 60 \cdot 9}{8 \cdot 5 \cdot 40}

Cancel the common factor:

5

= \frac{60 \cdot 9}{8 \cdot 40}

Factor the number:

60 = 4 \cdot 15

= \frac{4 \cdot 15 \cdot 9}{8 \cdot 40}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 15 \cdot 9}{4 \cdot 2 \cdot 40}

Cancel the common factor:

4

= \frac{15 \cdot 9}{2 \cdot 40}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 \cdot 9}{2 \cdot 40}

Factor the number:

40 = 5 \cdot 8

= \frac{5 \cdot 3 \cdot 9}{2 \cdot 5 \cdot 8}

Cancel the common factor:

5

= \frac{3 \cdot 9}{2 \cdot 8}

\frac{3 \cdot 9}{2 \cdot 8} = \frac{27}{16}

= \frac{27}{16}

\frac{28}{3 + 2}

\frac{- 16 - 8 i}{- 4}

\frac{3 \cdot 1 0 ^{8}}{6 \cdot 1 0 ^{2}}

- 4 \times \frac{3}{2}

9 \div \frac{4}{9}