1. 直接写出得数。
$1÷\dfrac{3}{4}=$
$8÷\dfrac{2}{3}=$
$(\dfrac{1}{2}+\dfrac{1}{3})×60=$
$4-\dfrac{1}{3}×12=$
$25×\dfrac{2}{15}=$
$18×(\dfrac{1}{2}-\dfrac{1}{3})=$
$1÷\dfrac{3}{4}=$
$8÷\dfrac{2}{3}=$
$(\dfrac{1}{2}+\dfrac{1}{3})×60=$
$4-\dfrac{1}{3}×12=$
$25×\dfrac{2}{15}=$
$18×(\dfrac{1}{2}-\dfrac{1}{3})=$
答案
$1\frac{1}{3}$
12
50
0
$3\frac{1}{3}$
3
8
9
8
7
3
40
12
50
0
$3\frac{1}{3}$
3
8
9
8
7
3
40
2. $\dfrac{3}{8}×\dfrac{□}{□}=1$
$\dfrac{24}{5}÷□=\dfrac{□}{15}$
$\dfrac{□}{8}÷5=\dfrac{7}{□}$
$\dfrac{24}{5}÷□=\dfrac{□}{15}$
$\dfrac{□}{8}÷5=\dfrac{7}{□}$
答案
8/3;6,12;7,40
解析
第一题:乘积为1的两个数互为倒数,3/8的倒数是8/3,故填8/3。
第二题:设第一个□为x,第二个□为y,24/5÷x=y/15,即24/(5x)=y/15,5xy=360,xy=72。取x=6,则y=12(24/5÷6=4/5=12/15),故填6,12。
第三题:设第一个□为a,第二个□为b,(a/8)÷5=7/b,即a/40=7/b,ab=280。取a=7,则b=40(7/8÷5=7/40),故填7,40。
第二题:设第一个□为x,第二个□为y,24/5÷x=y/15,即24/(5x)=y/15,5xy=360,xy=72。取x=6,则y=12(24/5÷6=4/5=12/15),故填6,12。
第三题:设第一个□为a,第二个□为b,(a/8)÷5=7/b,即a/40=7/b,ab=280。取a=7,则b=40(7/8÷5=7/40),故填7,40。
3. 计算。
$\dfrac{2}{7}+\dfrac{7}{9}$
$\dfrac{5}{8}-\dfrac{3}{7}$
$\dfrac{3}{4}-\dfrac{1}{5}-\dfrac{2}{5}$
$\dfrac{11}{12}+\dfrac{5}{6}$
$1-(\dfrac{5}{9}-\dfrac{3}{8})$
$\dfrac{5}{8}+(\dfrac{3}{8}-\dfrac{1}{9})$
$\dfrac{1}{7}×8-5÷7$
$(\dfrac{11}{12}-\dfrac{2}{5}×\dfrac{3}{4})÷\dfrac{7}{15}$
$\dfrac{2}{5}÷\dfrac{4}{5}-\dfrac{2}{3}×\dfrac{3}{5}$
$2\dfrac{2}{5}-(\dfrac{3}{4}-\dfrac{1}{2}×\dfrac{2}{3})$
$\dfrac{2}{7}+\dfrac{7}{9}$
$\dfrac{5}{8}-\dfrac{3}{7}$
$\dfrac{3}{4}-\dfrac{1}{5}-\dfrac{2}{5}$
$\dfrac{11}{12}+\dfrac{5}{6}$
$1-(\dfrac{5}{9}-\dfrac{3}{8})$
$\dfrac{5}{8}+(\dfrac{3}{8}-\dfrac{1}{9})$
$\dfrac{1}{7}×8-5÷7$
$(\dfrac{11}{12}-\dfrac{2}{5}×\dfrac{3}{4})÷\dfrac{7}{15}$
$\dfrac{2}{5}÷\dfrac{4}{5}-\dfrac{2}{3}×\dfrac{3}{5}$
$2\dfrac{2}{5}-(\dfrac{3}{4}-\dfrac{1}{2}×\dfrac{2}{3})$
答案
$=\frac {67}{63}$
$=\frac {11}{56}$
$=\frac {3}{4}-\frac {3}{5}$
$=\frac {3}{20}$
$=\frac {7}{4}$
$=\frac {59}{72}$
$=\frac {5}{8}+\frac {3}{8}-\frac {1}{9}$
$=1-\frac {1}{9}$
$= \frac {8}{9}$
$=\frac {8}{7}-\frac {5}{7}$
$=\frac {3}{7}$
$=(\frac {11}{12}-\frac {3}{10})×\frac {15}{7}$
$=\frac {37}{60}×\frac {15}{7}$
$=\frac {37}{28}$
$=\frac {1}{2}-\frac {2}{5}$
$=\frac {1}{10}$
$=\frac {12}{5}-(\frac {9}{12}-\frac {4}{12})$
$=\frac {119}{60}$
$=\frac {11}{56}$
$=\frac {3}{4}-\frac {3}{5}$
$=\frac {3}{20}$
$=\frac {7}{4}$
$=\frac {59}{72}$
$=\frac {5}{8}+\frac {3}{8}-\frac {1}{9}$
$=1-\frac {1}{9}$
$= \frac {8}{9}$
$=\frac {8}{7}-\frac {5}{7}$
$=\frac {3}{7}$
$=(\frac {11}{12}-\frac {3}{10})×\frac {15}{7}$
$=\frac {37}{60}×\frac {15}{7}$
$=\frac {37}{28}$
$=\frac {1}{2}-\frac {2}{5}$
$=\frac {1}{10}$
$=\frac {12}{5}-(\frac {9}{12}-\frac {4}{12})$
$=\frac {119}{60}$
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