Converting Repeating Decimals To Fractions Worksheet With Answer Key
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1
2Converting Repeating Decimals to Fractions
Name:
Rewrite each infinitely repeating decimal as a rational number (fraction).
A n s w e r s
⁄
1) 3.6017
2) 0.3511
35657
9900
f = 3.6017
f = 0.3511
1.
⁄
3476
10,000f = 36017.17
10,000f = 3511.11
9900
-
100f = 00360.17
-
100f = 0035.11
2.
⁄
739
9900f = 35657
9900f = 3476
⁄
⁄
90
35657
3476
3.
f =
f =
⁄
9900
9900
765
990
4.
⁄
3) 8.21
4) 0.772
95397
990
f = 8.21
f = 0.772
5.
⁄
8452
100f = 821.1
1,000f = 772.72
990
-
10f = 082.1
-
10f = 007.72
6.
⁄
5349
90f = 739
990f = 765
90
⁄
⁄
739
765
7.
f =
f =
⁄
90
990
441
900
8.
⁄
5615
5) 96.360
6) 8.537
900
f = 96.360
f = 8.537
9.
⁄
8869
1,000f = 96360.60
1,000f = 8537.37
9000
-
10f = 00963.60
-
10f = 0085.37
10.
990f = 95397
990f = 8452
⁄
⁄
95397
8452
f =
f =
990
990
7) 59.43
8) 0.489
f = 59.43
f = 0.489
100f = 5943.3
1,000f = 489.9
-
10f = 0594.3
-
100f = 048.9
90f = 5349
900f = 441
⁄
⁄
5349
441
f =
f =
90
900
9) 6.238
10) 0.9854
f = 6.238
f = 0.9854
1,000f = 6238.8
10,000f = 9854.4
-
100f = 0623.8
-
1,000f = 0985.4
900f = 5615
9000f = 8869
⁄
⁄
5615
8869
f =
f =
900
9000
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10
Math
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