妹妹的数学题,通分比大小

\u6570\u5b66\u9898\uff08\u901a\u5206\uff09

6\u548c9\u301018 \u3011 3\u548c5\u3010 15\u3011 6\u548c36\u301036 \u3011
12\u548c18\u301036 \u3011 8\u548c9\u3010 72\u3011 20\u548c30\u301060 \u3011
15\u548c45\u301045 \u3011 22\u548c33\u301066 \u3011 7\u548c11\u301077 \u3011
\u5728\u6bcf\u7ec4\u5206\u6570\u540e\u9762\u7684\u3010 \u3011\u5185\u5199\u51fa\u4ed6\u4eec\u7684\u516c\u5206\u6bcd
3\u5206\u4e4b2\u548c4\u5206\u4e4b3\u301012 \u3011 6\u5206\u4e4b5\u548c7\u5206\u4e4b5\u301042 \u3011
39\u5206\u4e4b5\u548c26\u5206\u4e4b7\u301078 \u3011 7\u5206\u4e4b6\u548c11\u5206\u4e4b3\u301077 \u3011
12\u5206\u4e4b7\u548c6\u5206\u4e4b5\u301012 \u3011 20\u5206\u4e4b9\u548c10\u5206\u4e4b7\u301020 \u3011
\u628a\u4e0b\u9762\u4e24\u7ec4\u5206\u6570\u901a\u5206\uff08\u586b\u7a7a\uff09
\uff081\uff0915\u5206\u4e4b7=15x\uff082\uff097x\uff082\uff09=\uff0830\uff09\u5206\u4e4b\uff0814\uff09
10\u5206\u4e4b7=10x\uff083\uff097x\uff083\uff09=\uff0830\uff09\u5206\u4e4b\uff0821\uff09
\uff082\uff094\u5206\u4e4b9=4x\uff089\uff099x\uff089\uff09=\uff0836\uff09\u5206\u4e4b\uff0881\uff09
9\u5206\u4e4b4=9x\uff084\uff094x\uff084\uff09=\uff0836\uff09\u5206\u4e4b\uff0816\uff09
\u628a\u4e0b\u9762\u5404\u7ec4\u5206\u6570\u901a\u5206\uff08\u5217\u51fa\u5f0f\u5b50\uff09
1\uff1a9\u5206\u4e4b1\u548c4\u5206\u4e4b5 9\u5206\u4e4b1=4/(4*9)=4/36
4\u5206\u4e4b5=(5*9)/(4*9)=45/36
2\uff1a8\u5206\u4e4b7\u548c12\u5206\u4e4b7
8\u5206\u4e4b7=(7*3)/(8*3)=21/24 12\u5206\u4e4b7=(7*2)/(12*2)=14/24
3\uff1a7\u5206\u4e4b6\u548c33\u5206\u4e4b7
7\u5206\u4e4b6=(6*33)/(7*33)=198/231 33\u5206\u4e4b7=(7*7)/(33*7)=49/231
4\uff1a20\u5206\u4e4b3\u548c66\u548c17
20\u5206\u4e4b3=(3*33)/(20*33)=99/660
66\u5206\u4e4b17 =(17*10)/(66*10)=170/660
\u4e24\u4e2a\u6700\u7b80\u771f\u5206\u6570\uff0c\u901a\u8fc7\u5206\u540e\u7684\u5206\u6bcd\u662f12\uff0c\u8fd9\u4e24\u4e2a\u771f\u5206\u6570\u662f\u591a\u5c11\uff1f
\u7b54\uff1a 1/4\u548c1/3
6\u5206\u4e4b7\u7684\u5206\u6bcd\u52a0\u4e0a12\uff0c\u8981\u662f\u5206\u6570\u5927\u5c0f\u4e0d\u53d8\uff0c\u5b83\u7684\u5206\u5b50\u5e94\u52a0\u4e0a\u591a\u5c11\uff1f
\u7b54\uff1a \u5b83\u7684\u5206\u5b50\u5e94\u8be5\u52a0\u4e0a14 \u56e0\u4e3a12/6=2 7*2=14 \u6240\u4ee5\u5b83\u7684\u5206\u5b50\u5e94\u8be5\u52a0\u4e0a14

\u4e0d\u901a\u5206\uff0c\u90a3\u4e48\u4f60\u53ea\u80fd\u6c42\u51fa\u76f8\u5e94\u7684\u5c0f\u6570\u4e86\uff0c\u7136\u540e\u6bd4\u8f83
4/9=0.44
6/13=0.462
\u6240\u4ee54/9<6/13
\u4f46\u662f\u6700\u597d\u8fd8\u662f\u901a\u5206(\u2299o\u2299)\u54e6

4/9=(4×4)/(9×4)=16/36
5/12=(5×3)/(12×3)=15/36
因为:16/36>15/36
所以,4/9>5/12
3/16=(3×3)/(16×3)=9/48
7/24=(7×2)/(24×2)=14/48
因为:9/48<14/48
所以,3/16<7/24
1/3=(1×33)/(3×33)=33/99
4/9=(4×11)/(9×11)=44/99
8/11=(8×9)/(11×9)=72/99
因为:33/99<44/99<72/99
所以,1/3<4/9<8/11

解:
4/9和5/12

4/9=16/36
5/12=15/36
由于16>15
所以:16/36>15/36
即:4/9>5/12

3/16和7/24
3/16=9/48
7/24=14/48
由于14>9
所以:14/48>9/48
即:7/24>3/16

1/3,4/9,8/11

1/3=99/297
4/9=132/297
8/11=216/297
由于216>132>99
所以:216/297>132/297>99/297
即:8/11>4/9>1/3

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