cual es el resultado de 3 [tex]\frac{1}{5}[/tex] + 5 [tex]\frac{1}{2}[/tex] + 7 [tex]\frac{5}{6}[/tex]
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Respuesta:
15
Explicación paso a paso:
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Verified answer
Solucion:
Se convierte las fracciones mixtas a fracciones:
- 3 [tex]\frac{1}{5}[/tex] = [tex]\frac{(3.5)+1}{5}[/tex] = [tex]\frac{16}{5}[/tex]
- 5 [tex]\frac{1}{2}[/tex] = [tex]\frac{(5.2)+1}{2}[/tex] = [tex]\frac{11}{2}[/tex]
- 7 [tex]\frac{5}{6}[/tex] = [tex]\frac{(7.6)+5}{6}[/tex] = [tex]\frac{47}{6}[/tex]
Se suma por M.C.M:
= [tex]\frac{16}{5}[/tex] + [tex]\frac{11}{2}[/tex] + [tex]\frac{47}{6}[/tex]
MCM: 5 ; 2 ; 6
5 2 6 | 2
5 1 3 | 3 = 2 . 3 . 5 = 30
5 1 1 | 5
1 1 1
= 30 ÷ 5 = 6 x 16 = 96
= 30 ÷ 2 = 15 x 11 = 165
= 30 ÷ 6 = 5 x 47 = 235
= [tex]\frac{96}{30}[/tex] + [tex]\frac{165}{30}[/tex] + [tex]\frac{235}{30}[/tex]
= [tex]\frac{96+165+235}{30}[/tex]
= [tex]\frac{496}{30}[/tex]
Se convierte en fraccion mixta:
496 | 30
480 16 = 16 [tex]\frac{16}{30}[/tex]
16
RPTA:
= 16 [tex]\frac{16}{30}[/tex]
Espero te haya ayudado:)