Converting Decimals to Fractions Practice Problems & Conceptual Mastery
Convert terminating decimals into fractions using place-value denominators (10, 100, 1000) and reduce them to simplest form using greatest common factors.
๐ Worked Step-by-Step Example
0.75 has 2 decimal places, meaning 75 hundredths: 75/100. Divide numerator and denominator by GCF(75, 100) = 25: (75 รท 25) / (100 รท 25) = 3/4.
โ Frequently Asked Questions
How do you convert any terminating decimal into a fraction?
1) Write the digits of the decimal without the decimal point as the numerator. 2) Write a 1 followed by as many zeros as there are decimal places as the denominator. 3) Reduce the fraction to simplest form by dividing numerator and denominator by their greatest common factor.
What is 0.375 as a fraction in simplest form?
0.375 = 375/1000. Both divide by 125: 375 รท 125 = 3, and 1000 รท 125 = 8. So 0.375 = 3/8.
Why is 0.05 equal to 1/20?
0.05 has 2 decimal places, meaning 5/100. Dividing both 5 and 100 by their common factor 5 yields 1/20.
Does every terminating decimal become a fraction?
Yes. Every terminating decimal is a rational number and can always be expressed as an exact ratio of two integers with a denominator that is a power of 10 (which simplifies to factors of 2 and 5).
๐บ๏ธ Pedagogical Learning Roadmap
Converting Fractions to Decimalsโ
Master core Converting Fractions to Decimals 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.
Explore More Math Resources for Converting Decimals to Fractions
Browse printable worksheets, curriculum guides, and interactive math games across our learning platform: