How do you solve the problem below?
What question
\[(-\frac{ 5 }{ 4 }-\frac{ 4 }{ 5 })-(-\frac{ 5 }{ 4 }-5)\]
Let me think
Do you make the denominators the same?
yes
if you change the denominator you must also change the numerator 1/1 = 5/5 = 10/10
-5/4 - 4/5 = -2 1/20; -5/4 - 5 = -6 1/4. -2 1/20 - 6 1/4 = 3 4/5. So your answer is 3 4/5
Oh and to find the common denominator you need to see what both of the denominators can go into...
How do I do the second part, with the -5?
-5/4 - 5 is just like -5/4 - 5/1
u may also do this :- multiply everything wid 1 : 20/20
Would the answer be \[\frac{ 34 }{ 20 } ?\]
nope
\(\large (-\frac{ 5 }{ 4 }-\frac{ 4 }{ 5 })-(-\frac{ 5 }{ 4 }-5)\) \(\large \frac{20}{20} \times \left[ (-\frac{ 5 }{ 4 }-\frac{ 4 }{ 5 })-(-\frac{ 5 }{ 4 }-5) \right] \)
\(\large (-\frac{ 5 }{ 4 }-\frac{ 4 }{ 5 })-(-\frac{ 5 }{ 4 }-5)\) \(\large \frac{20}{20} \times \left[ (-\frac{ 5 }{ 4 }-\frac{ 4 }{ 5 })-(-\frac{ 5 }{ 4 }-5) \right] \) \(\large \frac{1}{20} \times \left[ (-\frac{20 \times 5 }{ 4 }-\frac{20 \times 4 }{ 5 })-(-\frac{20 \times 5 }{ 4 }-20 \times 5) \right] \)
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