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\(1.\)
\(x\div\frac{4}{3}=\frac{3}{7}+\frac{2}{5}\)
\(x\div\frac{4}{3}=\frac{29}{35}\)
\(x=\frac{29}{35}\times\frac{4}{3}\)
\(x=\frac{116}{105}\)
\(2.\)
\(\frac{2}{5}\times\frac{3}{6}+\frac{7}{5}\div\frac{3}{5}\)
\(=\frac{1}{5}+\frac{7}{5}\times\frac{5}{3}\)
\(=\frac{1}{5}+\frac{7}{3}\)
\(=\frac{3}{15}+\frac{35}{15}\)
\(=\frac{38}{15}\)
\(a.\frac{1}{5}+\frac{7}{3}+6+5\)
\(=\frac{30}{150}+\frac{350}{150}+\frac{25}{150}+\frac{30}{150}\)
\(=\frac{30+350+25+30}{150}\)
\(=\frac{435}{150}\)
\(b.\frac{9}{10}+\frac{7}{2}+\frac{1}{5}\)
\(=\frac{9}{10}+\frac{35}{10}+\frac{2}{10}\)
\(=\frac{9+35+2}{10}\)
\(=\frac{46}{10}\)
\(c.\frac{9}{2}-\frac{1}{5}\)
\(=\frac{45}{10}-\frac{2}{10}\)
\(=\frac{45-2}{10}\)
\(=\frac{43}{10}\)
\(d.\frac{7}{3}-\frac{5}{21}\)
\(=\frac{49}{21}-\frac{5}{21}\)
\(=\frac{49-5}{21}\)
\(=\frac{44}{21}\)
\(\dfrac{5}{7}=\dfrac{30}{42};\dfrac{6}{7}=\dfrac{36}{42}. Vay5phansocantimla:\dfrac{31}{42};\dfrac{32}{42};\dfrac{33}{42};\dfrac{34}{42};\dfrac{35}{42}\)
Qui đồng 2 phân số lên ta có:
5/7 = 30/42 và 6/7 = 36/42
Vậy phân số nằm giữa là: 31/42 ; 32/42; 33/42; 34/42; 35/42
= 10/15+21/15- 9/15
= 31/15 - 9/15
=22/15
\(\dfrac{2}{3}+\dfrac{7}{5}-\dfrac{3}{5}=\dfrac{2}{3}+\dfrac{7-3}{5}=\dfrac{2}{3}+\dfrac{4}{5}=\dfrac{10+12}{15}=\dfrac{22}{15}\)
\(\dfrac{13}{6}+\dfrac{5}{3}-2=\dfrac{13+10}{6}-2=\dfrac{23}{6}-2=\dfrac{23-12}{6}=\dfrac{11}{6}\)