a) 3/4+1/4:2/3=b) 1/3 : 3 + 5 : 1/5=c) (3 1/3 - 5/6) x 4/15=d) (1 1/8 - 1/2) x (3/5 + 1/3) =e) 1 1/5.... Question from @zuzazuzik11

October 2022 1 5 Report

a) 3/4+1/4:2/3=
b) 1/3 : 3 + 5 : 1/5=
c) (3 1/3 - 5/6) x 4/15=
d) (1 1/8 - 1/2) x (3/5 + 1/3) =
e) 1 1/5 x 1 2/3 x 1/7 + (1 1/7) do potęgi 2 =
f) (2 1/6 - 2/3) do potęgi 2 - 2 1/5
g) 10 - 2 x (3 1/5 - 2 1/4 x 1/3)
h) ( 7/3 - 5/12 + 1 1/2) : (2 3/4 - 5/6)
PLSS SZYBKO DAJE NAJ

Mati54321d

Odpowiedź:

a) $\frac{3}{4} +\frac{1}{4} *\frac{3}{2} =\frac{3}{4} +\frac{3}{8}=\frac{6}{8} +\frac{3}{8} =\frac{9}{8} =1\frac{1}{8}$

b) $\frac{1}{3} *\frac{1}{3} +5*5=\frac{1}{9} +25=25\frac{1}{9}$

c) $(\frac{10}{3}-\frac{5}{6})*\frac{4}{15} =(\frac{20}{6} -\frac{5}{6})*\frac{4}{15}=\frac{15}{6} *\frac{4}{15}=\frac{2}{3}$

d) $(\frac{9}{8}-\frac{1}{2} )*(\frac{3}{5}+\frac{1}{3} )=(\frac{9}{8} -\frac{4}{8} )*(\frac{9}{15}+\frac{5}{15} )=\frac{5}{8} *\frac{14}{15} =\frac{14}{24}$

e) $\frac{6}{5} *\frac{5}{3} *\frac{1}{7} +(\frac{8}{7} )^2=\frac{2}{7} +\frac{64}{49}= \frac{14}{49} +\frac{64}{49}= \frac{78}{49}$

f) $(\frac{13}{6} -\frac{2}{3} )^2-\frac{11}{5} =(\frac{13}{6} -\frac{4}{6} )^2-\frac{11}{5} = (\frac{9}{6} )^2-\frac{11}{5}=\frac{81}{36} -\frac{11}{5}=\frac{405}{180} -\frac{396}{180} =\frac{9}{180}=\frac{1}{20}$

g) $10-2*(\frac{16}{5}-\frac{9}{4}*\frac{1}{3} )=10-2*(\frac{16}{5}-\frac{3}{4} )=10-2*(\frac{64}{20} -\frac{15}{20} )=10-2*\frac{49}{20} =10-4,9=5,1$

h) $(\frac{7}{3}-\frac{5}{12}+\frac{3}{2}):(\frac{11}{4}-\frac{5}{6} )=(\frac{28}{12}-\frac{5}{12}+\frac{18}{12} ) :(\frac{66}{24}-\frac{20}{24} )=\frac{41}{12} *\frac{24}{46} =\frac{82}{46} =1\frac{36}{46}$