Question

Va rog foarte mult, ajutati-ma sa fac punctul b si c :((
va rog din toata inima mea :(​

Answer 1

$x\times 2 \frac{1}{5} = 1 \frac{1}{10} - \frac{1}{2}$

$x \times \frac{2 \times 5 + 1}{5} = \frac{1 \times 10 + 1}{10} - \frac{1}{2}$

$b)x \times \frac{11}{5} = \frac{11}{10} - \frac{1}{2}$

Amplificam 1 supra 2 cu 5.

$x \times \frac{11}{5} = \frac{11}{10} - \frac{5}{10}$

$x \times \frac{11}{5} = \frac{6}{10}$

$x = \frac{6}{10} \div \: \frac{11}{5}$

$x = \frac{6}{10} \times \frac{5}{11}$

$x = \frac{6 \times 5}{10 \times 11}$

$x = \frac{30}{110}$

Simplificam cu 10 și avem:

$x = \frac{3}{11}$

$c)1 \frac{1}{4} + \frac{3}{8} \times x = 1 \frac{1}{6} + \frac{1}{2}$

$\frac{1 \times 4 + 1}{4} + \frac{3}{8} \times x = \frac{1 \times 6 + 1}{6} + \frac{1}{2}$

$\frac{5}{4} + \frac{3}{8} \times x = \frac{7}{6} + \frac{1}{2}$

Amplific 5 supra 4 pe 2,iar 1 supra 2 cu 3

$\frac{10}{8} + \frac{3}{8} \times x = \frac{7}{6} + \frac{3}{6}$

$\frac{13}{8} \times x = \frac{10}{6}$

$x = \frac{13}{8} \div \frac{10}{6}$

$x = \frac{13}{8} \times \frac{6}{10}$

$x = \frac{78}{80}$

Simplificam prin 2 și avem:

$x = \frac{39}{40}$