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\(\frac{9}{4}-y.\frac{5}{6}=\frac{1}{2}+\frac{2}{3}\)
\(\frac{9}{4}-y.\frac{5}{6}=\frac{7}{6}\)
\(y.\frac{5}{6}=\frac{9}{4}-\frac{7}{6}\)
\(y.\frac{5}{6}=\frac{13}{12}\)
\(y=\frac{13}{12}:\frac{5}{6}\)
\(y=\frac{13}{10}\)
y.5 + y : 1/2 + y : 1/3
= y.5 + y.2 + y.3
= y.(5 + 2 + 3)
= y.10
\(\frac{9}{4}-y\times\frac{5}{6}=\frac{1}{2}+\frac{2}{3}\)
\(\frac{9}{4}-y\times\frac{5}{6}=\frac{7}{6}\)
\(y\times\frac{5}{6}=\frac{9}{4}-\frac{7}{6}\)
\(y\times\frac{5}{6}=\frac{13}{12}\)
\(y=\frac{13}{12}:\frac{5}{6}\)
\(y=\frac{13}{10}\)
9/4 - y × 5/6 = 1/2 + 1/3
9/4 - y × 5/6 = 5/6
y × 5/6 = 9/4 - 5/6
y × 5/6 = 17/12
y = 17/12 : 5/6
y = 17/10
\(\left(y-5\right)-\left(y-5\right)+y\cdot5-y:5=5\)
=>\(5y-0,2y=5\)
=>4,8y=5
=>\(y=\dfrac{25}{24}\)
1) 2,75 - 5/6 × 2/5 = 2,75 - (5/6) × (2/5) = 2,75 - 1/3 = 2,75 - 0,33 = 2,42
2) 1,25 - (5/6 - 0,75) - 3/5 = 1,25 - (5/6 - 0,75) - 3/5 = 1,25 - (5/6 - 3/4) - 3/5 = 1,25 - (5/6 - 9/12) - 3/5 = 1,25 - (10/12 - 9/12) - 3/5 = 1,25 - 1/12 - 3/5 = 1,25 - 0,08 - 0,6 = 1,25 - 0,68 = 0,57
3) 4/9 × 0,75 + 8/5 + 3,125 = (4/9) × 0,75 + 8/5 + 3,125 = 0,44 + 8/5 + 3,125 = 0,44 + 1,6 + 3,125 = 0,44 + 4,725 = 5,165
4) 1,125 - 4/7 - 0,12 = 1,125 - (4/7) - 0,12 = 1,125 - 0,57 - 0,12 = 0,435 - 0,12 = 0,315
5) (1/3 + 0,4) × 3,5 + (1/6 + 0,75) × 6/5
\(\frac{9}{4}-y.\frac{5}{6}=\frac{1}{2}+\frac{1}{3}\)
\(\frac{9}{4}-y.\frac{5}{6}=\frac{5}{6}\)
\(y.\frac{5}{6}=\frac{9}{4}-\frac{5}{6}\)
\(y.\frac{5}{6}=\frac{17}{12}\)
\(y=\frac{17}{12}:\frac{5}{6}\)
\(y=\frac{17}{10}\)
\(\frac{9}{4}\)- y x \(\frac{5}{6}\)= \(\frac{1}{2}\)+ \(\frac{2}{3}\) = \(\frac{9}{4}\)- \(\frac{1}{2}\)- \(\frac{2}{3}\)= y x \(\frac{5}{6}\)
y x \(\frac{5}{6}\)= \(\frac{13}{12}\)
y = \(\frac{13}{12}\)x \(\frac{6}{5}\)= \(\frac{13}{10}\)