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a.
x/y x 3/4 = 5/6 + 1/3
x/y x 3/4 = 7/6
x/y = 7/6 : 3/4
x/y = 14/9
b.
7/9 : x/y = 10/7 - 13/14
7/9 : x/y = 1/2
x/y = 7/9 : 1/2
x/y = 14/9
cho 1 k nha bn
y x 3/7 = 13/15 - 2/5
y x 3/7 = 7/15
y = 7/15 : 3/7
y = 49/45
Vậy y = 49/45
\(Y\cdot\frac{3}{7}=\frac{13}{15}-\frac{2}{5}\)
=>\(Y\cdot\frac{3}{7}=\frac{7}{15}\)
=>\(Y=\frac{7}{15}:\frac{3}{7}=\frac{49}{45}\)
( dấu . là * đó)
a)\(x+\frac{15}{16}+\frac{7}{8}=\frac{15}{4}\)
\(x+\frac{29}{16}=\frac{15}{4}\)
\(x=\frac{15}{4}-\frac{29}{16}\)
\(x=\frac{31}{16}\)
b)\(x-\frac{27}{28}-\frac{9}{14}=\frac{13}{7}\)
\(x-\frac{45}{28}=\frac{13}{7}\)
\(x=\frac{13}{7}+\frac{45}{28}\)
\(x=\frac{97}{28}\)
c)\(x\times\frac{1}{5}+x+\frac{1}{6}=\frac{2}{3}\)
\(x\times\frac{1}{5}+x=\frac{2}{3}-\frac{1}{6}\)
\(x\times\left(\frac{1}{5}+1\right)=\frac{1}{2}\)
\(x\times\frac{6}{5}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{6}{5}\)
\(x=\frac{5}{12}\)
d)\(x:14=\frac{1}{4}+\frac{2}{9}+\frac{3}{4}\)
\(x:14=\frac{11}{9}\)
\(x=\frac{11}{9}\times14\)
\(x=\frac{154}{9}\)
#H
\(\frac{4}{15}:y=\left(\frac{4}{5}+\frac{1}{2}\right)\times\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{13}{10}\times\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{2}{5}\)
\(y=\frac{4}{15}:\frac{2}{5}\)
\(y=\frac{2}{3}\)
\(\frac{4}{15}:y=\left(\frac{4}{5}+\frac{1}{2}\right)\times\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{13}{10}\times\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{2}{5}\)
\(y=\frac{4}{15}:\frac{2}{5}\)
\(y=\frac{2}{3}\)
\(\frac{4}{15}:y=\left(\frac{8}{10}+\frac{5}{10}\right)X\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{13}{10}X\frac{4}{13}\)
\(\frac{4}{15}:y=\frac{2}{5}\)
\(y=\frac{4}{15}:\frac{2}{5}\)
\(y=\frac{4}{15}X\frac{5}{2}\)
\(y=\frac{2}{3}\)
HOK TỐT
Tính nhanh mỗi biểu thức sau:
a, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
= (0 + 20) + (1 + 19) + (2 + 18) + (3 + 17) + (4 + 16) + (5 + 15) + (6 + 14) + (7 + 13) + (8 + 12) + (9 + 11) + 10
= 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 10
= 20 x 10 + 10
= 200 + 10
= 210
b, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x (4 x 9 - 36)
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x (36 - 36)
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 0
= A x 0
= 0
c, (81 - 7 x 9 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= (81 - 63 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= (18 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= 0 :(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= 0 : A
= 0
d, (6 x 5 + 7 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (30 + 7 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (37 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= 0 x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= 0 x A
= 0
e, (11 x 9 - 100 + 1) : (1 x 2 x 3 x 4 x ... x 10)
= (99 - 100 + 1) : (1 x 2 x 3 x 4 x ... x 10)
= (99 + 1 - 100) : (1 x 2 x 3 x 4 x ... x 10)
= (100 - 100) : (1 x 2 x 3 x 4 x ... x 10)
= 0 : (1 x 2 x 3 x 4 x ... x 10)
= 0 : A
= 0
g, (m : 1 - m x 1) : (m x 2008 + m x 2008)
= (m - m) : (m x 2008 + m x 2008)
= 0 : (m x 2008 + m x 2008)
= 0 : A
= 0
h, (2 + 4 + 6 + 8 + m x n) x (324 x 3 - 972)
= (2 + 4 + 6 + 8 + m x n) x (972 - 972)
= (2 + 4 + 6 + 8 + m x n) x 0
= A x 0
= 0
l, (1 + 2 + 3 + ... + 99) x (13 x 15 - 12 x 15 - 15)
= (1 + 2 + 3 + ... + 99) x (15 x (13 - 12 - 1))
= (1 + 2 + 3 + ... + 99) x (15 x 0)
= (1 + 2 + 3 + ... + 99) x 0
= A x 0
= 0
i, (0 x 1 x 2 x...x 99 x 100) : (2 + 4 + 6 +...+ 98)
= 0 x : (2 + 4 + 6 +...+ 98)
= 0 x A
= 0
k, (0 + 1 + 2 +...+ 97 + 99) x (45 x 3 - 45 x 2 - 45)
= (0 + 1 + 2 +...+ 97 + 99) x (45 x (3 - 2 - 4))
= (0 + 1 + 2 +...+ 97 + 99) x (45 x 0)
= (0 + 1 + 2 +...+ 97 + 99) x 0
= A x 0
= 0
y \(\times\) \(\dfrac{13}{15}\) = \(\dfrac{2}{3}\) \(\times\) \(\dfrac{7}{6}\)
y \(\times\) \(\dfrac{13}{15}\) = \(\dfrac{14}{18}\)
y \(\times\) \(\dfrac{13}{15}\) = \(\dfrac{7}{9}\)
y = \(\dfrac{7}{9}\) : \(\dfrac{13}{15}\)
y = \(\dfrac{35}{39}\)
thử lại ta có:
\(\dfrac{35}{39}\) \(\times\) \(\dfrac{13}{15}\) = \(\dfrac{7}{9}\)
\(\dfrac{2}{3}\) \(\times\) \(\dfrac{7}{6}\) = \(\dfrac{7}{9}\)
Vậy y = \(\dfrac{35}{39}\) là đúng