問題
2つ以上の分数を比べるとき,通分する.
できるだけ分母を小さくするときは
8と6の最公数を出してから解くが,
ここでは簡単なたすきがけを使う.
たすきがけは,ちがう方の分数の分をかける.
| 5× |
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1× |
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| ————————— |
, |
————————— |
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| 8× |
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6× |
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| ——— |
, |
——— |
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こうすると分がそろうので分を見て大きさを比べられる.
まずは通分を練習する.
| 3 |
×2 |
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| ——— |
= |
——— |
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| 5 |
× |
10 |
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| 2 |
× |
10 |
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| ——— |
= |
——— |
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| 7 |
×5 |
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| 6 |
× |
12 |
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| ——— |
= |
——— |
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| 11 |
× |
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| 3 |
× |
12 |
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| ——— |
= |
——— |
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× |
32 |
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| 6 |
× |
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| ——— |
= |
——— |
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| 7 |
× |
21 |
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| 2 |
× |
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| ——— |
= |
——— |
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| 3 |
× |
24 |
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大小関係を調べる.
| 3× |
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2× |
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| ————————— |
, |
————————— |
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| 8× |
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7× |
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| ——— |
, |
——— |
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よって
| 3 |
|
2 |
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| ——— |
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——— |
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| 8 |
|
7 |
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| 3× |
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4× |
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| ————————— |
, |
————————— |
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| 5× |
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6× |
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| ————— |
, |
————— |
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| 30 |
|
30 |
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よって
| 3 |
|
4 |
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| ——— |
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——— |
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| 5 |
|
6 |
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| 3× |
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2× |
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| ————————— |
, |
————————— |
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| 11× |
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7× |
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| ——— |
, |
——— |
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| 77 |
|
77 |
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よって
| 3 |
|
2 |
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| ——— |
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——— |
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| 11 |
|
7 |
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