x + 15 = – 16
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\(15\times\left(16-222\right)-16\times\left(222+15\right)\)
\(=15\times16-15\times222-16\times222-16\times15\)
\(=\left(15\times16-16\times15\right)-\left(15\times222+16\times222\right)\)
\(=0-222\times\left(15+16\right)\)
\(=-222\times31=-6882\)
15×(16−222)−16×(222+15)15×(16−222)−16×(222+15)
=15×16−15×222−16×222−16×15=15×16−15×222−16×222−16×15
=(15×16−16×15)−(15×222+16×222)=(15×16−16×15)−(15×222+16×222)
=0−222×(15+16)=0−222×(15+16)
=−222×31=−6882
a) \(\frac{3}{16}+\frac{4}{15}+\frac{5}{16}+\frac{1}{15}\)
\(=\left(\frac{3}{16}+\frac{5}{16}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)
\(=\frac{1}{2}+\frac{1}{3}\)
\(=\frac{5}{6}\)
b) \(\frac{6}{7}\times\frac{8}{15}\times\frac{7}{6}\times\frac{15}{16}\)
\(=\left(\frac{6}{7}\times\frac{7}{6}\right)\times\left(\frac{8}{15}\times\frac{15}{16}\right)\)
\(=1\times\frac{1}{2}=\frac{1}{2}\)
c) \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)
\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)
\(=\frac{247}{420}+\frac{72}{420}\)
\(=\frac{319}{420}\)
\(\dfrac{4}{3.5}+\dfrac{8}{5.9}+\dfrac{12}{9.15}+...+\dfrac{32}{x\left(x+16\right)}=\dfrac{16}{15}\)
\(2.\left(\dfrac{2}{3.5}+\dfrac{4}{5.9}+\dfrac{6}{9.15}+..+\dfrac{16}{X.\left(X+16\right)}\right)=\dfrac{16}{15}\)
\(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{15}+...+\dfrac{1}{X}-\dfrac{1}{X+16}=\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{1}{3}-\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{-1}{5}\)
\(X+16=-5\)
\(X=-21\)
12/13 x 15/16 x 13/15 : 11/16 = 12/13 x 15/16 x 13/15 x 16/11
= 12/11
a] -567 + 113 - 113567 - 2011
= -454 - 113567 - 2011
= -114021 - 2011= -116032
B] -137 x [52 + 47+1]
= -137 x 100
= -13700
C] 15 x [16 - 222] - 16 x [222 + 15]
= 15 x [-206] - 16 x 237
= -3090 - 3792
= -6882
x + 15 = – 16
x=-16-15
x=-31
x+15=-16
x=-16-15
x=-31