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) 7.122
2) 9.94
7051
990
f = 7.122
f = 9.94
1.
⁄
895
1,000f = 7122.22
100f = 994.4
90
-
10f = 0071.22
-
10f = 099.4
2.
⁄
5219
990f = 7051
90f = 895
⁄
⁄
9900
7051
895
3.
f =
f =
⁄
990
90
6023
9000
4.
⁄
3) 0.5271
4) 0.6692
11189
9000
f = 0.5271
f = 0.6692
5.
⁄
157519
10,000f = 5271.71
10,000f = 6692.2
99000
-
100f = 0052.71
-
1,000f = 0669.2
6.
⁄
2094
9900f = 5219
9000f = 6023
90
⁄
⁄
5219
6023
7.
f =
f =
⁄
9900
9000
376
900
8.
⁄
1310
5) 1.2432
6) 1.59110
900
f = 1.2432
f = 1.59110
9.
⁄
76083
10,000f = 12432.2
100,000f = 159110.10
99000
-
1,000f = 01243.2
-
1,000f = 001591.10
10.
9000f = 11189
99000f = 157519
⁄
⁄
11189
157519
f =
f =
9000
99000
7) 23.26
8) 0.417
f = 23.26
f = 0.417
100f = 2326.6
1,000f = 417.7
-
10f = 0232.6
-
100f = 041.7
90f = 2094
900f = 376
⁄
⁄
2094
376
f =
f =
90
900
9) 1.455
10) 0.76851
f = 1.455
f = 0.76851
1,000f = 1455.5
100,000f = 76851.51
-
100f = 0145.5
-
1,000f = 00768.51
900f = 1310
99000f = 76083
⁄
⁄
1310
76083
f =
f =
900
99000
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2
Math
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