Fractions and decimals
Practice fractions and decimals.
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Example
Example
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More denominators and decimal places
10 questions · No time limit
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Change the number of equal parts without changing the amount.
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How this data is usedHelp
Choose equivalence, conversion, arithmetic or a mix. Find a missing numerator, change between fractions and decimals, or calculate with two fractions.
The instruction tells you which answer form to use. For a missing numerator, enter only that whole number. For conversion, use the requested fraction or decimal form. Arithmetic accepts either exact form; use a fraction for repeating decimals. Equivalent fractions are accepted.
Check submits your response. Read each calculation step, then choose Next question when ready. An invalid answer format can be corrected without using up a question.
Use Tab to reach the answer field and controls. Press Enter in the answer field to check your answer.
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About this practice
Fractions practice asks you to keep a value unchanged while rewriting it, or to calculate with two fractions. Each round has 10 questions with no time limit. Read the requested answer form before typing: a missing numerator, a fraction and a decimal need different entries.
Choose a skill
Equivalence asks for a missing numerator. Conversion switches between fractions and decimals. Arithmetic combines two fractions. Mixed includes three equivalence questions, three conversions and four arithmetic questions.
Three worked examples
Equivalence, Easy: 2/3 = ?/12
- Find the factor that changes the denominator: 12 ÷ 3 = 4.
- Multiply the numerator by that same factor: 2 × 4 = 8.
- Check the equality: 2/3 = 8/12. Enter only 8 in the answer field.
Multiplying both numbers by the same factor changes the size and number of the parts together, so the fraction keeps its value.
Conversion, Standard: write 0.375 as a fraction
- Three decimal places mean thousandths: 0.375 = 375/1000.
- Reduce the numerator and denominator by the same factor: 375/1000 = 3/8.
Enter 3/8. The equivalent fraction 375/1000 is also accepted. This question asks for a fraction, so entering 0.375 again does not satisfy the requested form.
Arithmetic, Standard: 1/2 + 1/3 = ?
- Use equal-sized parts before adding: 1/2 + 1/3 = 3/6 + 2/6.
- Add the numerators and keep the common denominator: 3/6 + 2/6 = 5/6.
Enter 5/6, or an equivalent fraction such as 10/12. Adding both the numerators and denominators would give 2/5, which changes the unit size and is incorrect. The decimal for 5/6 repeats, so use a fraction to keep the answer exact.
What difficulty changes
- Easy: equivalence and conversion begin with fractions below one. Arithmetic uses addition and subtraction with matching denominators.
- Standard: more denominators and decimal places, and equivalence or conversion values can exceed one. Arithmetic adds multiplication; addition and subtraction use different denominators.
- Challenge: larger denominators, more decimal places and division. Arithmetic can also include fractions greater than one.
Conversion questions use decimals that end, so no rounding is needed. Arithmetic accepts an exact fraction, whole number or decimal. For conversions, use a slash when a fraction is requested and a decimal point when a decimal is requested. A wrong format stays ungraded so you can correct it; a valid but incorrect value counts as an answered question.
What your result means
The score counts correct answers out of questions checked, with no speed bonus. Read the method after Check, then choose Next question when ready. Compare rounds in the same mode and difficulty, and use review to distinguish a calculation error from choosing the wrong answer form. Only a complete 10-question round is saved.
Continue with Make equivalent fractions or Convert fractions and decimals.
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On by default unless you turn it off. Saved choices are kept. Shares starts, completions, replays and error categories. For ChatGPT visits, starts and completions may include the first QuickenBrain page and country. No answers, drawings or names.
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