add the rational number given below and show that the sum is also a rational number :
-5/8 + 3/8
Answers
Answer:
Step−by−stepexplanation
Question :
( \frac{ 4}{15} \: + \frac{2}{ - 5}) \: - \: ( \frac{ - 3}{10} \: + \: \frac{5}{ 8} )(
15
4
+
−5
2
)−(
10
−3
+
8
5
)
First; let's find out the sum of -3/10 and 5/8
LCM of 8 and 10 = 40
Making the terms like,
\frac{ - 12}{40} \: + \: \frac{25}{40}
40
−12
+
40
25
After Solving...
\frac{13}{40}
40
13
Step-2 Find out the sum of 4/15 and 2/-5
Remember - Denominator can never have a negative sign. So, the fraction now, will be, -2/5
LCM of 15 and 5 = 15
Making the terms like,
\frac{4}{15} \: + \: \frac{ - 6}{15}
15
4
+
15
−6
After Solving,
\frac{ - 2}{15}
15
−2
Solving further,
\frac{ - 2}{15} \: - \: \frac{13}{40}
15
−2
−
40
13
LCM of 40 and 15 = 120
Converting them to like terms,
\frac{ - 16}{120} \: - \: \frac{39}{120}
120
−16
−
120
39
\frac{ - 55}{120}
120
−55
Cancelling,
\frac{ - 5}{24}
24
−5
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