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) 26.37
2) 0.416
2374
90
f = 26.37
f = 0.416
1.
⁄
412
100f = 2637.7
1,000f = 416.16
990
-
10f = 0263.7
-
10f = 004.16
2.
⁄
8051
90f = 2374
990f = 412
⁄
⁄
990
2374
412
3.
f =
f =
⁄
90
990
6627
9900
4.
⁄
3) 8.132
4) 0.6693
41988
9900
f = 8.132
f = 0.6693
5.
⁄
496
1,000f = 8132.32
10,000f = 6693.93
900
-
10f = 0081.32
-
100f = 0066.93
6.
⁄
6873
990f = 8051
9900f = 6627
9000
⁄
⁄
8051
6627
7.
f =
f =
⁄
990
9900
484037
99000
8.
⁄
84912
5) 4.2412
6) 0.551
9000
f = 4.2412
f = 0.551
9.
⁄
49442
10,000f = 42412.12
1,000f = 551.1
990
-
100f = 00424.12
-
100f = 055.1
10.
9900f = 41988
900f = 496
⁄
⁄
41988
496
f =
f =
9900
900
7) 0.7636
8) 4.88926
f = 0.7636
f = 4.88926
10,000f = 7636.6
100,000f = 488926.26
-
1,000f = 0763.6
-
1,000f = 004889.26
9000f = 6873
99000f = 484037
⁄
⁄
6873
484037
f =
f =
9000
99000
9) 9.4346
10) 49.941
f = 9.4346
f = 49.941
10,000f = 94346.6
1,000f = 49941.41
-
1,000f = 09434.6
-
10f = 00499.41
9000f = 84912
990f = 49442
⁄
⁄
84912
49442
f =
f =
9000
990
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4
Math
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