Question

Вычислить 2 1\6 + 5 4\15; 4 5\18 - 0,7; 6 1\3 + 2 1/15 - 4 7\9 решите уравнение х - 3 4\33 = 1 19\22; 4,75 - (х-1\12) = 1/3

Answer 1

№ 1
$2 \frac{1}{6} + 5 \frac{4}{15} = \frac{13}{6} + \frac{29}{15} = \frac{65+58}{30} = \frac{123}{30} = 4 \frac{3}{30} = 4 \frac{1}{10}$

№ 2
$4 \frac{5}{18} - 0.7 = \frac{77}{18} - \frac{7}{10} = \frac{385-63}{90} = \frac{322}{90} = 3 \frac{52}{90} = 3 \frac{26}{45}$

№ 3
$6 \frac{1}{3} + 2 \frac{1}{15} - 4 \frac{7}{9} = \frac{19}{3} + \frac{31}{15} - \frac{43}{9} = \frac{95+93-215}{45} = \frac{27}{45} = \frac{3}{5}$

№ 4
$x-3 \frac{4}{33} = 1 \frac{19}{22}$
$x = \frac{22+19}{22} + \frac{3*33+4}{33} =\frac{41*3}{66} + \frac{103*2}{66} = \frac{123+206}{66} = \frac{329}{66} = 4 \frac{65}{66}$

№ 5
4.75 - $(x - \frac{1}{12} ) = \frac{1}{3}$
$x = 4 \frac{3}{4} + \frac{1}{12} - \frac{1}{3} = \frac{57+1-4}{12} = \frac{54}{12} = 4 \frac{1}{2}$