What is (1+s/3)(1+s/(20)) ?

The solution to (1+s/3)(1+s/(20)) is ((3+s)(20+s))/(60)

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simplify (1+s/3)(1+s/(20))

simplify

(1 + \frac{s}{3}) (1 + \frac{s}{20})

\frac{( 3 + s ) ( 20 + s )}{60}

Solution steps

(1 + \frac{s}{3}) (1 + \frac{s}{20})

Join

1 + \frac{s}{3} : \frac{3 + s}{3}

= \frac{3 + s}{3} (1 + \frac{s}{20})

Apply the fraction rule:

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

= \frac{( 3 + s ) ( 1 + \frac{s}{20} )}{3}

Simplify

(3 + s) (1 + \frac{s}{20}) : \frac{( 3 + s ) ( 20 + s )}{20}

= \frac{\frac{( 3 + s ) ( 20 + s )}{20}}{3}

Apply the fraction rule:

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

= \frac{( 3 + s ) ( 20 + s )}{20 \cdot 3}

Multiply the numbers:

20 \cdot 3 = 60

= \frac{( 3 + s ) ( 20 + s )}{60}

(y + \frac{1}{4})^{2}

(100 - y^{2} - 21)^{2}

(\frac{2 t ^{2} + 1}{t ^{3} - t} - x) (\frac{1}{t - t ^{3}} - x)

\frac{1 - x ^{2}}{( x ^{2} - x + 1 ) ^{2}}

- 2 (4 + 5)

What is (1+s/3)(1+s/(20)) ?
The solution to (1+s/3)(1+s/(20)) is ((3+s)(20+s))/(60)