Răspuns :

BiancaRebecaid

●amplificam cu 2 a doua fractie

[tex] \frac{1}{10} + \frac{14}{10} = \frac{15}{10} [/tex]

simplificam fractia cu 5

[tex] \frac{15}{10} = \frac{3}{2} [/tex]

●introducem întregii in fractie, după aceea amplificam prima fractie cu 2

[tex] \frac{4}{3} - \frac{5}{6} = \frac{8}{6} - \frac{5}{6} = \frac{3}{6} [/tex]

simplificam fractia cu 3

[tex] \frac{3}{6} = \frac{1}{2} [/tex]

●introducem întregii si calculăm

[tex] \frac{9}{4} \times \frac{4}{1} = \frac{36}{4} = 9[/tex]

●introducem întregii si calculăm

[tex] \frac{5}{3} \div \frac{7}{2} = \frac{5}{3} \times \frac{2}{7} = \frac{10}{21} [/tex]

●ridicam la puterea a 3 a

[tex] \frac{8}{125} [/tex]

Răspuns:

Explicație pas cu pas:

[tex]\large\bf \star ~~ \dfrac{1}{10} +\dfrac{7}{5} =\dfrac{1}{10} +\dfrac{7\cdot2}{5\cdot 2}=\dfrac{1+14}{10} =\bigg(\dfrac{15}{10}\bigg)^{(5} =\boxed{\bf \dfrac{3}{2} }[/tex]

[tex]\it~~[/tex]

[tex]\large\bf \star ~~1\dfrac{1}{3} -\dfrac{5}{6} =\dfrac{4}{3} -\dfrac{5}{6}=\dfrac{8-5}{6} =\bigg(\dfrac{3}{6}\bigg)^{(3} =\boxed{\bf \dfrac{1}{2} }[/tex]

[tex]\it~~[/tex]

[tex]\large\bf \star ~~2\dfrac{1}{4} \cdot 4 =\dfrac{2\cdot 4 +1}{4} \cdot 4=\dfrac{9}{4} \cdot 4=\dfrac{9}{\not4} \cdot \not4 =\boxed{\bf 9}[/tex]

[tex]\it~~[/tex]

[tex]\large\bf \star ~~1\dfrac{2}{3} :3\dfrac{1}{2} =\dfrac{5}{3}:\dfrac{7}{2}=\dfrac{5}{3}\cdot\dfrac{2}{7}=\boxed{\bf \dfrac{10}{21} }[/tex]

[tex]\it~~[/tex]

[tex]\large\bf \star ~~\bigg(\dfrac{2}{5}\bigg)^{3} =\dfrac{2^{3}}{5^{3}}=\boxed{\bf \dfrac{8}{125} }[/tex]

[tex]\it~~[/tex]

PS: Daca esti pe telefon, te rog sa glisezi spre dreapta pentru a vedea rezolvarea completa

==pav38==

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