Răspuns :
a)
[tex] \frac{5}{4} - \frac{7}{12} = \frac{15}{12} - \frac{7}{12} = \frac{8}{12} = \frac{2}{3} [/tex]
b)
[tex] \frac{8}{3} \div \frac{16}{5} - \frac{1}{9} = \frac{8}{3} \times \frac{5}{16} - \frac{1}{9} = \frac{1}{3} \times \frac{5}{2} - \frac{1}{9} [/tex]
[tex] \frac{1}{3} \times \frac{5}{2} - \frac{1}{9} = \frac{5}{6} - \frac{1}{9} = \frac{15}{18} - \frac{2}{18} = \frac{13}{18} [/tex]
c)
3/10+20/9:8/3
3/10+20/9×3/8
3/10+5/3×1/2
3/10+5/6
9/30+25/30=34/30=17/15
d)11/6-4/45:8/6
11/6-4/45×6/8
11/6-1/15×2/2
11/6-2/30
55/30-2/30
53/30
e)63/50:9/2+13/15
63/50×2/9+13/15
7/25×1/1+13/15
7/25+13/15
42/150+130/150
=172/150
=86/75
f)49/20:14/5+5/18
49/20×5/14
7/4×1/2+5/18
7/8+5/18
63/72+20/72
=83/72
[tex] \frac{5}{4} - \frac{7}{12} = \frac{15}{12} - \frac{7}{12} = \frac{8}{12} = \frac{2}{3} [/tex]
b)
[tex] \frac{8}{3} \div \frac{16}{5} - \frac{1}{9} = \frac{8}{3} \times \frac{5}{16} - \frac{1}{9} = \frac{1}{3} \times \frac{5}{2} - \frac{1}{9} [/tex]
[tex] \frac{1}{3} \times \frac{5}{2} - \frac{1}{9} = \frac{5}{6} - \frac{1}{9} = \frac{15}{18} - \frac{2}{18} = \frac{13}{18} [/tex]
c)
3/10+20/9:8/3
3/10+20/9×3/8
3/10+5/3×1/2
3/10+5/6
9/30+25/30=34/30=17/15
d)11/6-4/45:8/6
11/6-4/45×6/8
11/6-1/15×2/2
11/6-2/30
55/30-2/30
53/30
e)63/50:9/2+13/15
63/50×2/9+13/15
7/25×1/1+13/15
7/25+13/15
42/150+130/150
=172/150
=86/75
f)49/20:14/5+5/18
49/20×5/14
7/4×1/2+5/18
7/8+5/18
63/72+20/72
=83/72
Răspuns:
Explicație pas cu pas:
11.a. 1si1/4÷3/2-7/12=
5/4÷3/2-7/12=
5/4x2/3-7/12=5/6-7/12=
[ (2x5)-7]/12=(10-7)/12=3/12=1/4
b. 8/3÷3si1/5-1/9=
8/3÷16/5-1/9=
8/3x5/16-1/9=
5/6-1/9=
[(3x5)-2]/18=
(15-2)/18=13/18
c. 3/10+2si2/9÷8/3=
3/10+20/9x3/8=
5/(3x2)=5/6
d. 11/6-4/25÷2si2/3=
11/6-4/25÷8/3=
11/6-4/25x3/8=
11/6-3/(2x25)=
11/6-3/50=
[ (25x11)-9]/150=
(275-9)/150=
266/150=133/75
e. 13/50÷9/2+13/15=
13/50x2/9+13/15=
13/(25x9)+13/15=
13/225+13/15=
[13+(15x13)]/225=
(13+195)/225=208/225