Question

DAU Coroana.
Calculează și verifica rezultatul, făcând proba inpartirii :
a) 9/10:3/5
b)1/8:(-5/8)
c)(2/3):11/12
d) 7/9:9​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 9/10:3/5=3/2   proba   9/10:3/2=9/10×2/3=3/5

b)1/8:(-5/8)=-1/8×8/5=-1/5      proba  1/8:(-1/5)=(-5/8)

c)(2/3):11/12 =2/3×12/11=8/11    proba  2/3:8/11=11/12

d) 7/9:9​=7/9×1/9=7/49            proba   7/9:7/49=9

Answer 2

a)

$\bf \dfrac{9}{10} \div \dfrac{3}{5}$

$\bf \dfrac{9}{10} \times \dfrac{5}{3}$

$\bf \dfrac{ \not9}{ \not10} \times \dfrac{ \not5}{ \not3}$

$\bf \dfrac{3}{2} \times \dfrac{1}{1}$

$\boxed{ \bf \dfrac{3}{2}}$

Verificare:

$\it \dfrac{9}{10} = \dfrac{3}{5} \times \dfrac{3}{2}$

$\it\dfrac{9}{10} = \dfrac{9}{10} \: (adevarat)$

b)

$\bf \dfrac{1}{8} \div \big( - \dfrac{5}{8} \big)$

$\bf \dfrac{1}{8} \times \big( - \dfrac{8}{5} \big)$

$\bf \dfrac{1}{ \not8} \times \big( - \dfrac{ \not8}{5} \big)$

$\boxed{\bf - \dfrac{1}{5}}$

Verificare:

$\it \dfrac{1}{8} = - \dfrac{1}{5} \times ( - \dfrac{5}{8})$

$\it \dfrac{1}{8} = - \dfrac{1}{ \not5} \times ( - \dfrac{ \not5}{8})$

$\it \dfrac{1}{8} =\dfrac{1}{8} \: (adevarat)$

c)

$\bf \dfrac{2}{3} \div \dfrac{11}{12}$

$\bf \dfrac{2}{3} \times \dfrac{12}{11}$

$\bf \dfrac{2}{\not3}\times \dfrac{ \not 12}{11}$

$\boxed{\bf \dfrac{8}{11}}$

Verificare:

$\it \dfrac{2}{3} = \dfrac{11}{12} \times\dfrac{8}{11}$

$\it \dfrac{2}{3} = \dfrac{ \not11}{ \not12} \times\dfrac{ \not8}{ \not11}$

$\it \dfrac{2}{3} = \dfrac{2}{3} \: (adevarat)$

d)

$\bf \dfrac{7}{9} \div \dfrac{9}{1}$

$\bf \dfrac{7}{9} \times \dfrac{1}{9}$

$\boxed{\bf \dfrac{7}{81}}$

Verificare:

$\it \dfrac{7}{9} = \dfrac{9}{1} \times\dfrac{7}{81}$

$\it \dfrac{7}{9} = \dfrac{ \not9}{1} \times\dfrac{7}{ \not81}$

$\it \dfrac{7}{9} = \dfrac{7}{9} \: (adevarat)$