What is (79n)/(25)*(85)/(27n^2) ?

The solution to (79n)/(25)*(85)/(27n^2) is (1343)/(135n)

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simplify (79n)/(25)*(85)/(27n^2)

simplify

\frac{79 n}{25} \cdot \frac{85}{27 n ^{2}}

\frac{1343}{135 n}

Solution steps

\frac{79 n}{25} \cdot \frac{85}{27 n ^{2}}

Apply the fraction rule:

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

= \frac{79 n \cdot 85}{25 \cdot 27 n ^{2}}

Factor the number:

85 = 5 \cdot 17

= \frac{79 n \cdot 5 \cdot 17}{25 \cdot 27 n ^{2}}

Factor the number:

25 = 5 \cdot 5

= \frac{79 n \cdot 5 \cdot 17}{5 \cdot 5 \cdot 27 n ^{2}}

Cancel the common factor:

5

= \frac{79 n \cdot 17}{5 \cdot 27 n ^{2}}

Simplify

\frac{n}{n ^{2}} : \frac{1}{n}

= \frac{79 \cdot 17}{5 \cdot 27 n}

Multiply the numbers:

79 \cdot 17 = 1343

= \frac{1343}{5 \cdot 27 n}

Multiply the numbers:

5 \cdot 27 = 135

= \frac{1343}{135 n}

4 b^{2} + 15 b - 4

m^{2} + 5 m + 6 = 0

6 x^{2} + 4 x - 2 = 0

61 - 61 x = (8 x + 3) (x - 1)

2 x + 10 = 16

What is (79n)/(25)*(85)/(27n^2) ?
The solution to (79n)/(25)*(85)/(27n^2) is (1343)/(135n)