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) 0.72810
2) 0.566
72082
99000
f = 0.72810
f = 0.566
1.
⁄
561
100,000f = 72810.10
1,000f = 566.66
990
-
1,000f = 00728.10
-
10f = 005.66
2.
⁄
175
99000f = 72082
990f = 561
⁄
⁄
90
72082
561
3.
f =
f =
⁄
99000
990
676
900
4.
⁄
3) 1.94
4) 0.751
921229
99000
f = 1.94
f = 0.751
5.
⁄
2785
100f = 194.4
1,000f = 751.1
9000
-
10f = 019.4
-
100f = 075.1
6.
⁄
4298
90f = 175
900f = 676
90
⁄
⁄
175
676
7.
f =
f =
⁄
90
900
53650
990
8.
⁄
15558
5) 9.30534
6) 0.3094
9000
f = 9.30534
f = 0.3094
9.
⁄
5927
100,000f = 930534.34
10,000f = 3094.4
990
-
1,000f = 009305.34
-
1,000f = 0309.4
10.
99000f = 921229
9000f = 2785
⁄
⁄
921229
2785
f =
f =
99000
9000
7) 47.75
8) 54.191
f = 47.75
f = 54.191
100f = 4775.5
1,000f = 54191.91
-
10f = 0477.5
-
10f = 00541.91
90f = 4298
990f = 53650
⁄
⁄
4298
53650
f =
f =
90
990
9) 1.7286
10) 5.986
f = 1.7286
f = 5.986
10,000f = 17286.6
1,000f = 5986.86
-
1,000f = 01728.6
-
10f = 0059.86
9000f = 15558
990f = 5927
⁄
⁄
15558
5927
f =
f =
9000
990
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3
Math
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