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Sagot :
Given addition:
(I). → {4(2/3)} + {1(1/6)}
= {(12+2)/3}+{(6+1)/6}
= (14/3)+(7/6)
Take the LCM of 3 & 6 is 6.
= {(14×2 + 7×1)/6}
= {(28+7)/6}
= 35/6
= {5(5/6)}.
(ii).→ {5(3/5)} + (3/10)
= {(25+3)/5} + (3/10)
= (28/5) + (3/10)
Take the LCM of 5 & 10 is 10.
= {(28×2 + 3×1)/10}
= {(56 + 3)/10}
= (59/10)
= {5(9/10)}.
(iii).→ {3(5/8)} + {1(5/12)}
= {(24+5)/8} + {(12+5)/12}
= (29/8) + (17/12)
Take the LCM of 8 & 12 is 24.
= {(29×3 + 17×2)/24}
= {(87 + 34)/24}
= 121/24
= {10(1/12)}.
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Sum of fractions
Given the following sum of mixed fractions, we are to find the resulting value:
1) [tex]4\frac{2}{3} + 1\frac{1}{6} [/tex]
Convert to improper fractions
[tex]=\frac{14}{3}+\frac{7}{6} \\ =\frac{28+7}{6} \\ =\frac{35}{6}\\ =5 \frac{5}{6} [/tex]
2)Given the sum of fractions [tex]5\frac{3}{5} +\frac{3}{10}\\ [/tex]
[tex]=\frac{28}{5}+\frac{3}{10} \\ =\frac{56+3}{10} \\ =\frac{59}{10}\\ =5 \frac{9}{10} [/tex]
3) Given the sum of fractions
[tex]=8\frac{5}{8} +1\frac{5}{12} \\ ==\frac{69}{8}+\frac{17}{12} \\ =\frac{207+34}{24} \\ =\frac{241}{24}\\ =10 \frac{1}{24}[/tex]
Learn more on sum of fractions here: https://brainly.com/question/78672
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