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Answers
Answer:
a
EVALUATE
Solution Steps
\frac{ -15 }{ 17 } + \frac{ 4 }{ 13 } + \frac{ 5 }{ 26 } + \frac{ -9 }{ 34 }
17
−15
+
13
4
+
26
5
+
34
−9
view step
\frac{-15}{17}\approx -0.882352941
-\frac{15}{17}\approx -0.882352941
-\frac{15}{17}+\frac{4}{13}+\frac{5}{26}+\frac{-9}{34}\approx -0.647058824
−
17
15
+
13
4
+
26
5
+
34
−9
≈−0.647058824
view step
Least common multiple of 1717 and 1313 is 221221. Convert -\frac{15}{17}\approx -0.882352941−
17
15
≈−0.882352941 and \frac{4}{13}\approx 0.307692308
13
4
≈0.307692308 to fractions with denominator 221221.
-\frac{195}{221}+\frac{68}{221}+\frac{5}{26}+\frac{-9}{34}\approx -0.647058824
−
221
195
+
221
68
+
26
5
+
34
−9
≈−0.647058824
-\frac{195}{221}\approx -0.882352941
\frac{68}{221}\approx 0.307692308
\frac{-195+68}{221}+\frac{5}{26}+\frac{-9}{34}\approx -0.647058824
221
−195+68
+
26
5
+
34
−9
≈−0.647058824
view step
-19568-127
-\frac{127}{221}+\frac{5}{26}+\frac{-9}{34}\approx -0.647058824
−
221
127
+
26
5
+
34
−9
≈−0.647058824
view step
22126442-\frac{127}{221}\approx -0.574660633
\frac{5}{26}\approx 0.192307692
442
-\frac{254}{442}+\frac{85}{442}+\frac{-9}{34}\approx -0.647058824
−
442
254
+
442
85
+
34
−9
≈−0.647058824
view step
-\frac{254}{442}\approx -0.574660633
\frac{85}{442}\approx 0.192307692
\frac{-254+85}{442}+\frac{-9}{34}\approx -0.647058824
442
−254+85
+
34
−9
≈−0.647058824
view step
-25485-169
\frac{-169}{442}+\frac{-9}{34}\approx -0.647058824
442
−169
+
34
−9
≈−0.647058824
view step
\frac{-169}{442}\approx -0.382352941
13
-\frac{13}{34}+\frac{-9}{34}\approx -0.647058824
−
34
13
+
34
−9
≈−0.647058824
view step
\frac{-9}{34}\approx -0.264705882
-\frac{9}{34}\approx -0.264705882
-\frac{13}{34}-\frac{9}{34}\approx -0.647058824
−
34
13
−
34
9
≈−0.647058824
view step
-\frac{13}{34}\approx -0.382352941
\frac{9}{34}\approx 0.264705882
\frac{-13-9}{34}\approx -0.647058824
34
−13−9
≈−0.647058824
view step
9-13-22
\frac{-22}{34}\approx -0.647058824
34
−22
≈−0.647058824
view step
\frac{-22}{34}\approx -0.647058824
2
-\frac{11}{17}\approx -0.647058824
−
17
11
≈−0.647058824
is true
Next step
B..
EVALUATE
Solution Steps
\frac{ -8 }{ 15 } + \frac{ -11 }{ 20 } + \frac{ -11 }{ 25 } + \frac{ 11 }{ 20 }
15
−8
+
20
−11
+
25
−11
+
20
11
view step
Fraction \frac{-8}{15}\approx -0.533333333
15
−8
≈−0.533333333 can be rewritten as -\frac{8}{15}\approx -0.533333333−
15
8
≈−0.533333333 by extracting the negative sign.
-\frac{8}{15}+\frac{-11}{20}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
−
15
8
+
20
−11
+
25
−11
+
20
11
≈−0.973333333
\frac{-11}{20}\approx -0.55
-\frac{11}{20}=-0.55
-\frac{8}{15}-\frac{11}{20}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
−
15
8
−
20
11
+
25
−11
+
20
11
≈−0.973333333
view step
152060-\frac{8}{15}\approx -0.533333333
\frac{11}{20}=0.55
60
-\frac{32}{60}-\frac{33}{60}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
−
60
32
−
60
33
+
25
−11
+
20
11
≈−0.973333333
view step
-\frac{32}{60}\approx -0.533333333
\frac{33}{60}=0.55
\frac{-32-33}{60}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
60
−32−33
+
25
−11
+
20
11
≈−0.973333333
view step
33-32-65
\frac{-65}{60}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
60
−65
+
25
−11
+
20
11
≈−0.973333333
view step
\frac{-65}{60}\approx -1.083333333
5
-\frac{13}{12}+\frac{-11}{25}+\frac{11}{20}\approx -0.973333333
−
12
13
+
25
−11
+
20
11
≈−0.973333333
view step
\frac{-11}{25}\approx -0.44
-\frac{11}{25}=-0.44
-\frac{13}{12}-\frac{11}{25}+\frac{11}{20}\approx -0.973333333
−
12
13
−
25
11
+
20
11
≈−0.973333333
view step
1225300-\frac{13}{12}\approx -1.083333333
\frac{11}{25}=0.44
300
-\frac{325}{300}-\frac{132}{300}+\frac{11}{20}\approx -0.973333333
−
300
325
−
300
132
+
20
11
≈−0.973333333
view step
-\frac{325}{300}\approx -1.083333333
\frac{132}{300}=0.44
\frac{-325-132}{300}+\frac{11}{20}\approx -0.973333333
300
−325−132
+
20
11
≈−0.973333333
view step
132-325-457
-\frac{457}{300}+\frac{11}{20}\approx -0.973333333
−
300
457
+
20
11
≈−0.973333333
view step
30020300-\frac{457}{300}\approx -1.523333333
\frac{11}{20}=0.55
300
-\frac{457}{300}+\frac{165}{300}\approx -0.973333333
−
300
457
+
300
165
≈−0.973333333
view step
-\frac{457}{300}\approx -1.523333333
\frac{165}{300}=0.55
\frac{-457+165}{300}\approx -0.973333333
300
−457+165
≈−0.973333333
view step
-457165-292
\frac{-292}{300}\approx -0.973333333
300
−292
≈−0.973333333
view step
\frac{-292}{300}\approx -0.973333333
4
-\frac{73}{75}\approx -0.973333333
−
75
73
≈−0.973333333
is true
Next step
hope it helps you bro
Answer:
(a) (-228/221)
(b) (-73/75)
Step-by-step explanation:
(a)
To add fractions we know that they must be like fractions.
Here we have,
(-15/17), (4/13), (-9/34), (5/-26)
We know that, denominators can't be negative
So,
Fractions are,
(-15/17), (4/13), (-9/34), (-5/26)
To make them like fractions, we must find the LCM of the denominators.
LCM (17, 13, 34, 26) = 442
Thus,
(-15/17) × (26/26) = (-390)/442
(4/13) × (34/34) = 136/442
(-9/34) × (13/13) = (-117)/442
(-5/26) × (17/17) = (-85)/442
Thus, adding all we get,
(136/442) + ((-390)/442) + ((-117)/442) + ((-85)/442)
= (136 - 390 - 117 - 85)/442
= (-456)/442
= (-228)/221
Thus,
(-15/17) + (4/13) + (-9/34) + (-5/26) = (-228/221)
(b)
Here we have,
(-8/15), (-11/20), (-11/25), (11/20)
Similarly,
LCM (15, 20, 25) = 300
So,
(-8/15) × (20/20) = (-160/300)
(-11/20) × (15/15) = (-165/300)
(-11/25) × (12/12) = (-132/300)
(11/20) × (15/15) = (165/300)
Adding them we get,
(-160/300) + (-165/300) + (-132/300) + (165/300)
= (165 - 165 - 160 - 132)/300
= (-292)/300
= -73/75
Thus,
(-8/15) + (-11/20) + (-11/25) + (11/20) = (-73/75)
Hope it helped and you understood it........All the best