What is (13k-13)/(3k-13)*(2k-2)/(26k) ?

The solution to (13k-13)/(3k-13)*(2k-2)/(26k) is ((k-1)^2)/((3k-13)k)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (13k-13)/(3k-13)*(2k-2)/(26k)

simplify

\frac{13 k - 13}{3 k - 13} \cdot \frac{2 k - 2}{26 k}

\frac{( k - 1 ) ^{2}}{( 3 k - 13 ) k}

Solution steps

\frac{13 k - 13}{3 k - 13} \cdot \frac{2 k - 2}{26 k}

Cancel

\frac{2 k - 2}{26 k} : \frac{k - 1}{13 k}

= \frac{13 k - 13}{3 k - 13} \cdot \frac{k - 1}{13 k}

Apply the fraction rule:

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

= \frac{( 13 k - 13 ) ( k - 1 )}{( 3 k - 13 ) \cdot 13 k}

Factor

13 k - 13 : 13 (k - 1)

= \frac{13 ( k - 1 ) ( k - 1 )}{( 3 k - 13 ) \cdot 13 k}

Apply exponent rule:

aa = a^{2}

(k - 1) (k - 1) = (k - 1)^{2}

= \frac{13 ( k - 1 ) ^{2}}{( 3 k - 13 ) \cdot 13 k}

Cancel the common factor:

13

= \frac{( k - 1 ) ^{2}}{( 3 k - 13 ) k}

6 a^{2} - 48 a - 120

\frac{π}{12} + π

- 6 < \frac{2 x - 1}{4} < 0

48 = 3 (x + 2)^{2}

170.5 \geq x 15.5

What is (13k-13)/(3k-13)*(2k-2)/(26k) ?
The solution to (13k-13)/(3k-13)*(2k-2)/(26k) is ((k-1)^2)/((3k-13)k)