Which of the following is the quotient of the rational expressions shown below?
1 answer:
We have two rational expressions. One in numerator and one in denominator.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.
There are no common factors, so the expression can be simplified any further.
Dividing by a fraction is equivalent to multiplying by its reciprocal. The rational expression in the denominator can be multiplied by taking its reciprocal to simplify the overall expression as shown below.
There are no common factors, so the expression can be simplified any further.
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Let the amount of money be M,
then Mr.Scruggs spent 1/5M <span>on dog treats, and so 4/5M was left.
4/5M was equally divided in 3 parts among his favourite charities, so each of these received:
</span>
<span>
i) each charity received 4/15 of the money.
ii)
</span>
<span>
4M=15*60
M=15*15
M= 225 (dollars).
Check: 4/5(225)=4*45=180, 180/3=60</span>
then Mr.Scruggs spent 1/5M <span>on dog treats, and so 4/5M was left.
4/5M was equally divided in 3 parts among his favourite charities, so each of these received:
</span>
<span>
i) each charity received 4/15 of the money.
ii)
</span>
<span>
4M=15*60
M=15*15
M= 225 (dollars).
Check: 4/5(225)=4*45=180, 180/3=60</span>