דף הבית
אקראי
כניסה לחשבון
הגדרות
תרומה לוויקיספר
אודות ויקיספר
הבהרות משפטיות
חיפוש
מתמטיקה תיכונית/אלגברה תיכונית/חוקי החשבון/חוקי פעולות החשבון/תרגילים/תרגילים מסכמים
שפה
מעקב
עריכה
<
מתמטיקה תיכונית
|
אלגברה תיכונית
|
חוקי החשבון
|
חוקי פעולות החשבון
|
תרגילים
שברים
עריכה
הבא לצורה הפשוטה ביותר. אין להשתמש במחשבון לחישוב פעולת החילוק חיבור או חיסור. מכיוון שיתכן כי תגיעו למספרים גדולים מותר להשתמש במחשבון לחישוב מכפלות מספרים גדולים.
תרגילים
עריכה
2
+
4
3
{\displaystyle 2+{\frac {4}{3}}}
(
−
1
)
−
3
{\displaystyle (-1)-3}
2
⋅
(
−
4
)
{\displaystyle 2\cdot (-4)}
(
−
2
)
−
4
3
{\displaystyle (-2)-{\frac {4}{3}}}
(
−
1
3
)
+
3
4
{\displaystyle \left(-{\frac {1}{3}}\right)+{\frac {3}{4}}}
(
3
2
)
⋅
(
(
−
5
2
)
)
+
(
3
)
{\displaystyle \left({\frac {3}{2}}\right)\cdot {\left(\left({-{\frac {5}{2}}}\right)\right)}+\left({3}\right)}
(
(
−
2
3
)
+
(
−
1
)
)
−
(
(
−
9
5
)
)
{\displaystyle \left(\left({-{\frac {2}{3}}}\right)+\left({-1}\right)\right)-\left(\left({-{\frac {9}{5}}}\right)\right)}
(
(
−
1
)
−
1
3
)
⋅
(
(
−
7
3
)
)
{\displaystyle \left(\left({-1}\right)-{\frac {1}{3}}\right)\cdot {\left(\left({-{\frac {7}{3}}}\right)\right)}}
(
(
−
1
)
+
5
6
)
+
(
7
)
{\displaystyle \left(\left({-1}\right)+{\frac {5}{6}}\right)+\left({7}\right)}
(
4
3
+
(
−
1
5
)
)
+
(
5
6
)
{\displaystyle \left({\frac {4}{3}}+\left({-{\frac {1}{5}}}\right)\right)+\left({\frac {5}{6}}\right)}
(
(
−
15
2
)
−
(
−
3
)
−
8
3
)
⋅
(
(
−
2
)
)
+
(
(
−
15
)
)
{\displaystyle \left(\left({-{\frac {15}{2}}}\right)-\left({-3}\right)-{\frac {8}{3}}\right)\cdot {\left(\left({-2}\right)\right)}+\left(\left({-15}\right)\right)}
(
10
7
(
−
14
5
)
(
−
1
)
)
−
(
(
−
13
2
)
)
+
(
(
−
15
4
)
)
{\displaystyle \left({\frac {10}{7}}\left({-{\frac {14}{5}}}\right)\left({-1}\right)\right)-\left(\left({-{\frac {13}{2}}}\right)\right)+\left(\left({-{\frac {15}{4}}}\right)\right)}
(
11
2
(
−
2
9
)
(
−
7
)
5
4
)
+
(
(
−
3
5
)
)
{\displaystyle \left({\frac {11}{2}}\left({-{\frac {2}{9}}}\right)\left({-7}\right){\frac {5}{4}}\right)+\left(\left({-{\frac {3}{5}}}\right)\right)}
(
(
−
3
)
(
−
8
3
)
(
−
5
4
)
(
−
13
9
)
)
+
(
2
7
)
{\displaystyle \left(\left({-3}\right)\left({-{\frac {8}{3}}}\right)\left({-{\frac {5}{4}}}\right)\left({-{\frac {13}{9}}}\right)\right)+\left({\frac {2}{7}}\right)}
(
2
5
(
−
9
10
)
(
−
6
7
)
7
4
)
⋅
(
(
−
4
)
)
{\displaystyle \left({\frac {2}{5}}\left({-{\frac {9}{10}}}\right)\left({-{\frac {6}{7}}}\right){\frac {7}{4}}\right)\cdot {\left(\left({-4}\right)\right)}}
(
(
−
10
)
(
−
8
5
)
(
−
3
8
)
)
⋅
(
11
9
14
3
)
{\displaystyle \left(\left({-10}\right)\left({-{\frac {8}{5}}}\right)\left({-{\frac {3}{8}}}\right)\right)\cdot {\left({\frac {11}{9}}{\frac {14}{3}}\right)}}
(
(
−
8
7
)
−
5
6
−
(
−
5
)
)
⋅
(
(
−
5
4
)
−
3
)
{\displaystyle \left(\left({-{\frac {8}{7}}}\right)-{\frac {5}{6}}-\left({-5}\right)\right)\cdot {\left(\left({-{\frac {5}{4}}}\right)-{3}\right)}}
(
(
−
2
)
−
(
−
7
5
)
−
7
4
)
+
(
(
−
3
2
)
+
2
7
)
{\displaystyle \left(\left({-2}\right)-\left({-{\frac {7}{5}}}\right)-{\frac {7}{4}}\right)+\left(\left({-{\frac {3}{2}}}\right)+{\frac {2}{7}}\right)}
(
(
−
5
6
)
+
9
8
+
1
3
)
+
(
(
−
2
)
)
⋅
(
1
7
)
{\displaystyle \left(\left({-{\frac {5}{6}}}\right)+{\frac {9}{8}}+{\frac {1}{3}}\right)+\left(\left({-2}\right)\right)\cdot {\left({\frac {1}{7}}\right)}}
(
3
(
−
1
)
)
⋅
(
(
−
3
7
)
(
−
15
)
)
+
(
1
)
{\displaystyle \left({3}\left({-1}\right)\right)\cdot {\left(\left({-{\frac {3}{7}}}\right)\left({-15}\right)\right)}+\left({1}\right)}
(
(
−
6
7
)
11
3
21
19
2
)
⋅
(
1
3
7
)
+
(
5
13
)
{\displaystyle \left(\left({-{\frac {6}{7}}}\right){\frac {11}{3}}{21}{\frac {19}{2}}\right)\cdot {\left({1}{\frac {3}{7}}\right)}+\left({\frac {5}{13}}\right)}
(
(
−
15
)
11
10
(
−
20
3
)
)
+
(
(
−
7
3
)
(
−
13
11
)
12
13
)
⋅
(
(
−
5
3
)
)
{\displaystyle \left(\left({-15}\right){\frac {11}{10}}\left({-{\frac {20}{3}}}\right)\right)+\left(\left({-{\frac {7}{3}}}\right)\left({-{\frac {13}{11}}}\right){\frac {12}{13}}\right)\cdot {\left(\left({-{\frac {5}{3}}}\right)\right)}}
(
(
−
10
13
)
−
(
−
14
5
)
−
(
−
15
11
)
−
(
−
4
13
)
−
13
5
)
⋅
(
(
−
7
6
)
−
(
−
2
)
)
{\displaystyle \left(\left({-{\frac {10}{13}}}\right)-\left({-{\frac {14}{5}}}\right)-\left({-{\frac {15}{11}}}\right)-\left({-{\frac {4}{13}}}\right)-{\frac {13}{5}}\right)\cdot {\left(\left({-{\frac {7}{6}}}\right)-\left({-2}\right)\right)}}
(
21
(
−
1
)
)
+
(
4
3
17
5
(
−
4
3
)
)
−
(
7
8
−
2
)
{\displaystyle \left({21}\left({-1}\right)\right)+\left({\frac {4}{3}}{\frac {17}{5}}\left({-{\frac {4}{3}}}\right)\right)-\left({\frac {7}{8}}-{2}\right)}
(
(
−
17
5
)
(
−
15
13
)
16
9
(
−
18
)
(
−
19
5
)
19
12
17
2
)
{\displaystyle \left(\left({-{\frac {17}{5}}}\right)\left({-{\frac {15}{13}}}\right){\frac {16}{9}}\left({-18}\right)\left({-{\frac {19}{5}}}\right){\frac {19}{12}}{\frac {17}{2}}\right)}
(
(
−
3
2
)
8
9
(
−
19
5
)
3
7
3
7
)
⋅
(
(
−
5
3
)
−
3
4
)
{\displaystyle \left(\left({-{\frac {3}{2}}}\right){\frac {8}{9}}\left({-{\frac {19}{5}}}\right){\frac {3}{7}}{\frac {3}{7}}\right)\cdot {\left(\left({-{\frac {5}{3}}}\right)-{\frac {3}{4}}\right)}}
(
2
5
−
(
−
20
)
−
(
−
3
)
−
(
−
21
13
)
)
⋅
(
3
5
+
(
−
13
5
)
+
13
7
)
{\displaystyle \left({\frac {2}{5}}-\left({-20}\right)-\left({-3}\right)-\left({-{\frac {21}{13}}}\right)\right)\cdot {\left({\frac {3}{5}}+\left({-{\frac {13}{5}}}\right)+{\frac {13}{7}}\right)}}
(
7
4
+
(
−
7
4
)
+
(
−
3
7
)
+
2
3
+
21
)
+
(
11
8
4
7
)
{\displaystyle \left({\frac {7}{4}}+\left({-{\frac {7}{4}}}\right)+\left({-{\frac {3}{7}}}\right)+{\frac {2}{3}}+{21}\right)+\left({\frac {11}{8}}{\frac {4}{7}}\right)}
(
10
7
+
(
−
2
)
+
(
−
2
)
)
+
(
12
11
+
(
−
4
3
)
+
6
13
)
+
(
(
−
2
)
)
{\displaystyle \left({\frac {10}{7}}+\left({-2}\right)+\left({-2}\right)\right)+\left({\frac {12}{11}}+\left({-{\frac {4}{3}}}\right)+{\frac {6}{13}}\right)+\left(\left({-2}\right)\right)}
(
12
5
11
14
)
+
(
9
7
(
−
17
4
)
(
−
16
11
)
)
+
(
(
−
17
)
)
+
(
(
−
17
11
)
)
{\displaystyle \left({\frac {12}{5}}{\frac {11}{14}}\right)+\left({\frac {9}{7}}\left({-{\frac {17}{4}}}\right)\left({-{\frac {16}{11}}}\right)\right)+\left(\left({-17}\right)\right)+\left(\left({-{\frac {17}{11}}}\right)\right)}
(
1
3
(
−
7
4
)
)
+
(
1
3
)
+
(
(
−
11
14
)
(
−
5
2
)
)
+
(
19
8
)
−
(
17
5
)
{\displaystyle \left({\frac {1}{3}}\left({-{\frac {7}{4}}}\right)\right)+\left({\frac {1}{3}}\right)+\left(\left({-{\frac {11}{14}}}\right)\left({-{\frac {5}{2}}}\right)\right)+\left({\frac {19}{8}}\right)-\left({\frac {17}{5}}\right)}
(
(
−
7
11
)
(
−
1
3
)
1
7
4
)
⋅
(
21
13
)
+
(
(
−
1
13
)
−
(
−
2
)
)
{\displaystyle \left(\left({-{\frac {7}{11}}}\right)\left({-{\frac {1}{3}}}\right){\frac {1}{7}}{4}\right)\cdot {\left({\frac {21}{13}}\right)}+\left(\left({-{\frac {1}{13}}}\right)-\left({-2}\right)\right)}
(
15
7
(
−
20
3
)
(
−
17
8
)
(
−
3
)
)
+
(
(
−
3
10
)
−
21
)
−
(
(
−
19
8
)
)
{\displaystyle \left({\frac {15}{7}}\left({-{\frac {20}{3}}}\right)\left({-{\frac {17}{8}}}\right)\left({-3}\right)\right)+\left(\left({-{\frac {3}{10}}}\right)-{21}\right)-\left(\left({-{\frac {19}{8}}}\right)\right)}
(
(
−
12
)
(
−
9
2
)
9
7
17
11
(
−
6
)
)
−
(
12
5
)
⋅
(
(
−
20
9
)
)
{\displaystyle \left(\left({-12}\right)\left({-{\frac {9}{2}}}\right){\frac {9}{7}}{\frac {17}{11}}\left({-6}\right)\right)-\left({\frac {12}{5}}\right)\cdot {\left(\left({-{\frac {20}{9}}}\right)\right)}}
(
(
−
5
7
)
(
−
1
)
19
5
)
+
(
(
−
3
)
9
5
(
−
8
11
)
)
+
(
(
−
2
9
)
)
{\displaystyle \left(\left({-{\frac {5}{7}}}\right)\left({-1}\right){\frac {19}{5}}\right)+\left(\left({-3}\right){\frac {9}{5}}\left({-{\frac {8}{11}}}\right)\right)+\left(\left({-{\frac {2}{9}}}\right)\right)}
(
(
−
1
)
(
−
20
13
)
6
5
(
−
1
2
)
)
−
(
(
−
17
11
)
)
+
(
11
14
)
−
(
8
3
)
{\displaystyle \left(\left({-1}\right)\left({-{\frac {20}{13}}}\right){\frac {6}{5}}\left({-{\frac {1}{2}}}\right)\right)-\left(\left({-{\frac {17}{11}}}\right)\right)+\left({\frac {11}{14}}\right)-\left({\frac {8}{3}}\right)}
(
5
−
2
5
−
4
11
−
(
−
11
2
)
)
+
(
(
−
11
14
)
−
17
5
−
7
9
)
{\displaystyle \left({5}-{\frac {2}{5}}-{\frac {4}{11}}-\left({-{\frac {11}{2}}}\right)\right)+\left(\left({-{\frac {11}{14}}}\right)-{\frac {17}{5}}-{\frac {7}{9}}\right)}
2
⋅
3
7
⋅
8
9
⋅
17
11
⋅
13
+
1
⋅
(
−
3
13
)
{\displaystyle 2\cdot {\frac {3}{7}}\cdot {\frac {8}{9}}\cdot {\frac {17}{11}}\cdot 13+1\cdot \left(-{\frac {3}{13}}\right)}
5
3
+
(
−
5
3
)
+
(
−
1
)
+
(
−
13
5
)
+
19
12
−
14
13
−
(
−
10
11
)
{\displaystyle {\frac {5}{3}}+\left(-{\frac {5}{3}}\right)+(-1)+\left(-{\frac {13}{5}}\right)+{\frac {19}{12}}-{\frac {14}{13}}-\left(-{\frac {10}{11}}\right)}
(
−
5
6
)
(
−
6
7
)
(
−
7
10
)
4
⋅
5
6
⋅
9
11
+
(
−
3
4
)
{\displaystyle \left(-{\frac {5}{6}}\right)\left(-{\frac {6}{7}}\right)\left(-{\frac {7}{10}}\right)4\cdot {\frac {5}{6}}\cdot {\frac {9}{11}}+\left(-{\frac {3}{4}}\right)}
פתרונות
עריכה
10
3
{\displaystyle {\frac {10}{3}}}
−
4
{\displaystyle -4}
−
8
{\displaystyle -8}
−
10
3
{\displaystyle -{\frac {10}{3}}}
5
12
{\displaystyle {\frac {5}{12}}}
3
4
{\displaystyle {\frac {3}{4}}}
2
15
{\displaystyle {\frac {2}{15}}}
−
28
9
{\displaystyle -{\frac {28}{9}}}
41
6
{\displaystyle {\frac {41}{6}}}
−
59
30
{\displaystyle -{\frac {59}{30}}}
−
2
3
{\displaystyle -{\frac {2}{3}}}
−
5
4
{\displaystyle -{\frac {5}{4}}}
−
2033
180
{\displaystyle -{\frac {2033}{180}}}
928
63
{\displaystyle {\frac {928}{63}}}
−
54
25
{\displaystyle -{\frac {54}{25}}}
−
308
9
{\displaystyle -{\frac {308}{9}}}
−
2159
168
{\displaystyle -{\frac {2159}{168}}}
−
499
140
{\displaystyle -{\frac {499}{140}}}
−
11
56
{\displaystyle -{\frac {11}{56}}}
−
128
7
{\displaystyle -{\frac {128}{7}}}
−
24418
91
{\displaystyle -{\frac {24418}{91}}}
1970
11
{\displaystyle {\frac {1970}{11}}}
394
429
{\displaystyle {\frac {394}{429}}}
5789
360
{\displaystyle {\frac {5789}{360}}}
417316
65
{\displaystyle {\frac {417316}{65}}}
−
551
245
{\displaystyle -{\frac {551}{245}}}
1626
455
{\displaystyle {\frac {1626}{455}}}
925
42
{\displaystyle {\frac {925}{42}}}
−
13070
3003
{\displaystyle -{\frac {13070}{3003}}}
−
4806
385
{\displaystyle -{\frac {4806}{385}}}
1559
840
{\displaystyle {\frac {1559}{840}}}
303
143
{\displaystyle {\frac {303}{143}}}
−
30799
280
{\displaystyle -{\frac {30799}{280}}}
331712
231
{\displaystyle {\frac {331712}{231}}}
22243
3465
{\displaystyle {\frac {22243}{3465}}}
−
7559
6006
{\displaystyle -{\frac {7559}{6006}}}
16538
3465
{\displaystyle {\frac {16538}{3465}}}
45275
3003
{\displaystyle {\frac {45275}{3003}}}
−
18743
8580
{\displaystyle -{\frac {18743}{8580}}}
−
93
44
{\displaystyle -{\frac {93}{44}}}
