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1 year ago

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Mathematics

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My name is Ann [436]1 year ago

7 0

The solution to the expressions given are;

9 -9t/ 12 - 5t

a. 20/ 169

b. -170/ 169

c. 386/ 169

d. -10/ 169

<h3>How to solve the expressions</h3>

Given:

$\frac{9 - 19t}{12 - 5t}$

We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further

a. $\frac{203}{169} - \frac{183}{169}$

First, let's find the lowest common multiple

LCM = 169

= $\frac{203 - 183}{169}$

= $\frac{20}{169}$

= 20/ 169

b. $\frac{13}{119} - \frac{183}{119}$

The lowest common multiple is 119

= $\frac{13 - 183}{119}$

substract the numerator

= - 170/ 119

c. $\frac{203}{169} - \frac{183}{169}$

The lowest common multiple is 169

= $\frac{203 + 183}{169}$

= 386/ 169

d. $\frac{9}{169}- \frac{19}{169}$

The lowest common multiple is 169

= $\frac{9 - 19}{169}$

= - 10/ 169

Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.

Learn more about LCM here:

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