Converting Fractions to Decimals Practice Problems & Conceptual Mastery
Convert proper fractions into exact terminating decimals by scaling the denominator to a power of 10 or performing numerator-by-denominator division.
๐ Worked Step-by-Step Example
Scale denominator 4 to 100 by multiplying by 25: (3 ร 25) / (4 ร 25) = 75/100 = 0.75.
โ Frequently Asked Questions
How do you turn any fraction into a decimal?
Divide the top number (numerator) by the bottom number (denominator). For example, to convert 5/8, calculate 5.000 รท 8 = 0.625.
How do I know if a fraction will terminate or repeat?
In simplest form, if the denominator's only prime factors are 2 and/or 5, the decimal will terminate (e.g., 8 = 2ยณ, 20 = 2ยฒ ร 5). If any other prime factor exists (like 3, 7, 11), the decimal repeats indefinitely.
What is 7/8 as a decimal?
Since 1/8 = 0.125, 7/8 = 7 ร 0.125 = 0.875 (or 1 โ 0.125 = 0.875).
What is the quickest way to convert 9/25 to a decimal?
Multiply numerator and denominator by 4 to get denominator 100: (9 ร 4) / (25 ร 4) = 36/100 = 0.36.
๐บ๏ธ Pedagogical Learning Roadmap
Converting Decimals to Fractionsโ
Master core Converting Decimals to Fractions concepts to build computational fluency.
PrerequisiteAdding Decimalsโ
Master core Adding Decimals concepts to build computational fluency.
Next StepComparing & Ordering Decimalsโ
Advance to Comparing & Ordering Decimals practice drills and timed challenges.
Next StepDecimal Operationsโ
Advance to Decimal Operations practice drills and timed challenges.
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