Convert Recurring Decimals to Fractions
Learn how to convert recurring decimals into fractions, like turning 0.33β¦ into 1/3, step by step. Letβs get started! π
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ποΈ Converting Recurring Decimals to Fractions
- Let x equal the recurring decimal, for example x = 0.333β¦.
- Multiply by 10 so the repeating digits line up, then subtract 10x β x.
- Solve 9x = 3, so x = 1/3, meaning .
ποΈ Converting Two Recurring Digits
- Let x = 0.4545β¦, where 45 repeats.
- Multiply by 100 so the repeating digits line up, then subtract 100x β x.
- Solve 99x = 45, so x = 45/99 = 5/11, meaning .
ποΈ Converting Mixed Recurring Digits
- Let x = 0.1666β¦, where only the 6 repeats.
- Multiply by 10 and 100 so the repeating digit lines up, then subtract 100x β 10x.
- Solve 90x = 15, so x = 1/6, meaning .
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