【小学5年算数】8-2 約分、通分｜問題集

Q: 約分とは何ですか？

約分とは、分数の分子と分母を共通の約数で割って、より簡単な形にすることです。例えば、6/8は2で割ると3/4になります。

Q: 通分とは何ですか？

通分とは、分数の計算のために分母を同じ数にそろえる操作です。例えば、1/2と1/3を通分すると、それぞれ3/6と2/6になります。

Q: 約分と通分の違いは何ですか？

約分は分数を簡単にする操作で、通分は異なる分母の分数を計算できるように揃える操作です。目的が異なります。

Question 1

(1)\(\displaystyle \frac{3}{15}\)

Answer

\(\displaystyle \frac{1}{5}\)

Question 2

(2)\(\displaystyle \frac{2}{6}\)

Answer

\(\displaystyle \frac{1}{3}\)

Question 3

(3)\(\displaystyle \frac{12}{16}\)

Answer

\(\displaystyle \frac{3}{4}\)

Question 4

(4)\(\displaystyle \frac{8}{20}\)

Answer

\(\displaystyle \frac{2}{5}\)

Question 5

(5)\(\displaystyle \frac{6}{9}\)

Answer

\(\displaystyle \frac{2}{3}\)

Question 6

(6)\(\displaystyle \frac{14}{21}\)

Answer

\(\displaystyle \frac{2}{3}\)

Question 7

(7)\(\displaystyle \frac{18}{24}\)

Answer

\(\displaystyle \frac{3}{4}\)

Question 8

(8)\(\displaystyle \frac{12}{15}\)

Answer

\(\displaystyle \frac{4}{5}\)

Question 9

(9)\(\displaystyle \frac{16}{24}\)

Answer

\(\displaystyle \frac{2}{3}\)

Question 10

(10)\(\displaystyle \frac{9}{12}\)

Answer

\(\displaystyle \frac{3}{4}\)

Question 11

(11)\(\displaystyle \frac{24}{38}\)

Answer

\(\displaystyle \frac{12}{19}\)

Question 12

(12)\(\displaystyle \frac{12}{28}\)

Answer

\(\displaystyle \frac{3}{7}\)

Question 13

(13)\(\displaystyle \frac{21}{35}\)

Answer

\(\displaystyle \frac{3}{5}\)

Question 14

(14)\(\displaystyle \frac{12}{33}\)

Answer

\(\displaystyle \frac{4}{11}\)

Question 15

(15)\(\displaystyle \frac{42}{54}\)

Answer

\(\displaystyle \frac{7}{9}\)

Question 16

(16)\(\displaystyle \frac{8}{14}\)

Answer

\(\displaystyle \frac{4}{7}\)

Question 17

(17)\(\displaystyle \frac{4}{16}\)

Answer

\(\displaystyle \frac{1}{4}\)

Question 18

(18)\(\displaystyle \frac{4}{18}\)

Answer

\(\displaystyle \frac{2}{9}\)

Question 19

(19)\(\displaystyle \frac{13}{52}\)

Answer

\(\displaystyle \frac{1}{4}\)

Question 20

(20)\(\displaystyle \frac{27}{57}\)

Answer

\(\displaystyle \frac{9}{19}\)

Question 21

(21)\(\displaystyle \frac{20}{52}\)

Answer

\(\displaystyle \frac{5}{13}\)

Question 22

(22)\(\displaystyle \frac{3}{6}\)

Answer

\(\displaystyle \frac{1}{2}\)

Question 23

(23)\(\displaystyle \frac{7}{14}\)

Answer

\(\displaystyle \frac{1}{2}\)

Question 24

(24)\(\displaystyle \frac{21}{28}\)

Answer

\(\displaystyle \frac{3}{4}\)

Question 25

(25)\(\displaystyle \frac{16}{20}\)

Answer

\(\displaystyle \frac{4}{5}\)

Question 26

(26)\(\displaystyle \frac{25}{35}\)

Answer

\(\displaystyle \frac{5}{7}\)

Question 27

(27)\(\displaystyle \frac{24}{40}\)

Answer

\(\displaystyle \frac{3}{5}\)

Question 28

(28)\(\displaystyle \frac{9}{27}\)

Answer

\(\displaystyle \frac{1}{3}\)

Question 29

(29)\(\displaystyle \frac{10}{12}\)

Answer

\(\displaystyle \frac{5}{6}\)

Question 30

(30)\(\displaystyle \frac{15}{18}\)

Answer

\(\displaystyle \frac{5}{6}\)

Question 31

(31)\(\displaystyle \frac{9}{36}\)

Answer

\(\displaystyle \frac{1}{4}\)

Question 32

(32)\(\displaystyle \frac{4}{6}\)

Answer

\(\displaystyle \frac{2}{3}\)

Question 33

(33)\(\displaystyle \frac{14}{35}\)

Answer

\(\displaystyle \frac{2}{5}\)

Question 34

(1)\(\displaystyle \left(\frac{1}{2},\frac{1}{3}\right)\)

Answer

\(\displaystyle \left(\frac{3}{6},\frac{2}{6}\right)\)

Question 35

(2)\(\displaystyle \left(\frac{4}{7},\frac{3}{14}\right)\)

Answer

\(\displaystyle \left(\frac{8}{14},\frac{3}{14}\right)\)

Question 36

(3)\(\displaystyle \left(\frac{1}{2},\frac{1}{3},\frac{1}{6}\right)\)

Answer

\(\displaystyle \left(\frac{3}{6},\frac{2}{6},\frac{1}{6}\right)\)

Question 37

(4)\(\displaystyle \left(\frac{1}{6},\frac{5}{9}\right)\)

Answer

\(\displaystyle \left(\frac{3}{18},\frac{10}{18}\right)\)

Question 38

(5)\(\displaystyle \left(\frac{2}{5},\frac{2}{15}\right)\)

Answer

\(\displaystyle \left(\frac{6}{15},\frac{2}{15}\right)\)

Question 39

(6)\(\displaystyle \left(\frac{1}{3},\frac{1}{4}\right)\)

Answer

\(\displaystyle \left(\frac{4}{12},\frac{3}{12}\right)\)

Question 40

(7)\(\displaystyle \left(\frac{1}{2},\frac{3}{5}\right)\)

Answer

\(\displaystyle \left(\frac{5}{10},\frac{6}{10}\right)\)

Question 41

(8)\(\displaystyle \left(\frac{4}{5},\frac{2}{3}\right)\)

Answer

\(\displaystyle \left(\frac{12}{15},\frac{10}{15}\right)\)

Question 42

(9)\(\displaystyle \left(\frac{3}{7},\frac{5}{6}\right)\)

Answer

\(\displaystyle \left(\frac{18}{42},\frac{35}{42}\right)\)

Question 43

(10)\(\displaystyle \left(\frac{3}{10},\frac{7}{15}\right)\)

Answer

\(\displaystyle \left(\frac{9}{30},\frac{14}{30}\right)\)

Question 44

(11)\(\displaystyle \left(\frac{1}{2},\frac{5}{8}\right)\)

Answer

\(\displaystyle \left(\frac{4}{8},\frac{5}{8}\right)\)

Question 45

(12)\(\displaystyle \left(\frac{2}{9},\frac{4}{7}\right)\)

Answer

\(\displaystyle \left(\frac{14}{63},\frac{36}{63}\right)\)

Question 46

(13)\(\displaystyle \left(\frac{4}{15},\frac{5}{12}\right)\)

Answer

\(\displaystyle \left(\frac{16}{60},\frac{25}{60}\right)\)

Question 47

(14)\(\displaystyle \left(\frac{1}{3},\frac{1}{4},\frac{1}{5}\right)\)

Answer

\(\displaystyle \left(\frac{20}{60},\frac{15}{60},\frac{12}{60}\right)\)

Question 48

(15)\(\displaystyle \left(\frac{1}{5},\frac{1}{6},\frac{1}{30}\right)\)

Answer

\(\displaystyle \left(\frac{6}{30},\frac{5}{30},\frac{1}{30}\right)\)

Question 49

(16)\(\displaystyle \left(\frac{5}{6},\frac{4}{9},\frac{7}{18}\right)\)

Answer

\(\displaystyle \left(\frac{30}{36},\frac{16}{36},\frac{14}{36}\right)\)

Question 50

(17)\(\displaystyle \left(\frac{1}{5},\frac{1}{6}\right)\)

Answer

\(\displaystyle \left(\frac{6}{30},\frac{5}{30}\right)\)

Question 51

(18)\(\displaystyle \left(\frac{2}{3},\frac{3}{4}\right)\)

Answer

\(\displaystyle \left(\frac{8}{12},\frac{9}{12}\right)\)

Question 52

(19)\(\displaystyle \left(\frac{1}{6},\frac{2}{9}\right)\)

Answer

\(\displaystyle \left(\frac{3}{18},\frac{4}{18}\right)\)

Question 53

(20)\(\displaystyle \left(\frac{2}{3},\frac{1}{8}\right)\)

Answer

\(\displaystyle \left(\frac{16}{24},\frac{3}{24}\right)\)

Question 54

(21)\(\displaystyle \left(\frac{3}{10},\frac{5}{12}\right)\)

Answer

\(\displaystyle \left(\frac{18}{60},\frac{25}{60}\right)\)

Question 55

(22)\(\displaystyle \left(\frac{4}{7},\frac{5}{9}\right)\)

Answer

\(\displaystyle \left(\frac{36}{63},\frac{35}{63}\right)\)

Question 56

(23)\(\displaystyle \left(\frac{2}{9},\frac{4}{21}\right)\)

Answer

\(\displaystyle \left(\frac{14}{63},\frac{12}{63}\right)\)

Question 57

(24)\(\displaystyle \left(\frac{3}{7},\frac{7}{10}\right)\)

Answer

\(\displaystyle \left(\frac{30}{70},\frac{49}{70}\right)\)

Question 58

(25)\(\displaystyle \left(\frac{3}{12},\frac{5}{16}\right)\)

Answer

\(\displaystyle \left(\frac{12}{48},\frac{15}{48}\right)\)

Question 59

(26)\(\displaystyle \left(\frac{1}{4},\frac{1}{5},\frac{1}{12}\right)\)

Answer

\(\displaystyle \left(\frac{15}{60},\frac{12}{60},\frac{5}{60}\right)\)

Question 60

(27)\(\displaystyle \left(\frac{1}{10},\frac{1}{20},\frac{1}{25}\right)\)

Answer

\(\displaystyle \left(\frac{10}{100},\frac{5}{100},\frac{4}{100}\right)\)

Question 61

(28)\(\displaystyle \left(\frac{2}{3},\frac{4}{5},\frac{7}{12}\right)\)

Answer

\(\displaystyle \left(\frac{40}{60},\frac{48}{60},\frac{35}{60}\right)\)

Question 62

(29)\(\displaystyle \left(\frac{1}{15},\frac{1}{20},\frac{1}{30}\right)\)

Answer

\(\displaystyle \left(\frac{8}{120},\frac{6}{120},\frac{4}{120}\right)\)

Question 63

(1)\(\displaystyle \frac{4}{5}\)時間(分)

Question 64

(2)\(\displaystyle \frac{7}{6}\)時間(分)

Answer 63

\(\displaystyle \frac{1}{3}\)時間

Answer 64

\(\displaystyle \frac{5}{4}\)時間

Answer 65

\(\displaystyle \frac{1}{12}\)分

Answer 66

\(\displaystyle \frac{4}{3}\)分

Answer 67

\(160\)分

Answer 68

\(\displaystyle \frac{1}{6}\)分

Answer 69

\(\displaystyle \frac{1}{4}\)時間

Answer 70

\(100\)分

Answer 71

\(\displaystyle \frac{5}{6}\)分

Answer 72

\(\displaystyle \frac{1}{2}\)時間

Answer 73

\(\displaystyle \frac{3}{2}\)分

Answer 74

\(\displaystyle \frac{2}{3}\)分

Answer 75

\(\displaystyle \frac{3}{4}\)時間

Answer 76

\(270\)秒

Answer 77

\(\displaystyle \frac{7}{12}\)時間