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Quizzes > High School Quizzes > Mathematics

Fraction to Decimal Practice Test

Sharpen Your Math Skills With Quick Conversion Practice

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting Fraction to Decimal Challenge for middle school math students

Easy
What is the decimal equivalent of 1/2?
0.5
0.2
0.02
2.0
Dividing 1 by 2 gives 0.5, which is the exact decimal representation. This fundamental conversion is a key building block in understanding fractions and decimals.
What is the decimal form of 1/4?
0.2
0.25
0.75
0.4
Dividing 1 by 4 results in 0.25, which is the correct decimal conversion. This basic exercise reinforces straightforward fraction to decimal conversion.
Convert 1/5 to a decimal.
0.5
0.2
0.25
0.15
When you divide 1 by 5, the result is 0.2. This conversion helps solidify the concept of converting simple fractions to decimals.
What is the decimal representation of 3/4?
0.75
0.85
0.65
0.70
Dividing 3 by 4 equals 0.75, making it the correct decimal conversion. This exercise reinforces basic fraction-to-decimal skills.
Convert 2/10 into a decimal.
0.2
0.02
0.5
2.0
Dividing 2 by 10 results in 0.2, which is the correct decimal form. This question emphasizes understanding of basic division and place value.
Medium
Convert 1/8 to a decimal.
0.125
0.25
0.1
0.12
Dividing 1 by 8 gives 0.125 exactly, which is the correct conversion. This problem builds on basic division techniques with fractions.
Convert 3/8 to a decimal.
0.375
0.35
0.38
0.25
Dividing 3 by 8 results in 0.375, the precise decimal form. This question encourages careful division and attention to detail.
What is the decimal approximation of 1/3 (to three decimal places)?
0.333
0.300
0.350
0.375
Dividing 1 by 3 produces a repeating decimal that approximates to 0.333 when rounded to three decimal places. This problem tests estimation alongside division skills.
What is the decimal form of 2/3 (rounded to two decimal places)?
0.66
0.67
0.68
0.70
Dividing 2 by 3 gives approximately 0.6667, which rounds to 0.67 at two decimal places. Rounding is an important skill in converting fractions to decimals.
Which fraction is equivalent to the decimal 0.2?
1/3
1/5
1/2
2/3
The decimal 0.2 is equivalent to the fraction 1/5. Recognizing such equivalences is central to understanding the relationship between fractions and decimals.
To convert 2/5 into a decimal, which method is most efficient?
Multiply numerator and denominator by 2 to get 4/10
Multiply numerator and denominator by 5
Divide the denominator by the numerator
Add 5 to both numerator and denominator
Multiplying by 2 converts 2/5 to 4/10, a form that easily translates to the decimal 0.4. This strategy simplifies the conversion process by creating an equivalent fraction with a denominator of 10.
Convert 7/10 to a decimal.
0.07
0.7
1.7
0.17
Dividing 7 by 10 shifts the decimal point one place to the left, resulting in 0.7. This conversion emphasizes the straightforward relationship between fractions with denominator 10 and decimals.
Convert 3/5 to a decimal.
0.6
0.53
0.65
0.75
Dividing 3 by 5 produces the decimal 0.6 exactly. This problem reinforces the concept of division and its role in converting fractions to decimals.
Find the decimal equivalent of 12/25.
0.48
0.42
0.50
0.52
Multiplying numerator and denominator by 4 gives 48/100 for 12/25, which is 0.48. This conversion exercise strengthens skills in creating equivalent fractions with denominators that are powers of 10.
Convert 4/25 to a decimal.
0.16
0.25
0.4
0.64
Multiplying 4/25 by 4 gives 16/100, which converts directly to 0.16. This question emphasizes the technique of scaling fractions to simplify the conversion.
Hard
Convert 7/16 to a decimal rounded to three decimal places.
0.437
0.438
0.44
0.4376
Dividing 7 by 16 yields 0.4375, which rounds to 0.438 when considering three decimal places. This question combines division with careful rounding.
Which repeating decimal represents the fraction 1/7 (to six decimal places)?
0.142857
0.125000
0.157143
0.142000
The fraction 1/7 generates a repeating cycle of 142857, making 0.142857 the accurate representation to six decimal places. Recognizing repeating patterns is essential for more complex conversions.
What is the decimal form of 5/12 when rounded to three decimal places?
0.416
0.417
0.420
0.415
Dividing 5 by 12 yields approximately 0.41667, which rounds to 0.417 when limited to three decimal places. This question assesses both division proficiency and proper rounding.
Which method is best for converting a fraction like 17/20 to a decimal?
Multiply numerator and denominator by a number to make the denominator 100
Divide the numerator by adding 20
Multiply the numerator by 20
Subtract the fraction from 1
Multiplying both numerator and denominator by 5 converts 17/20 into 85/100, which is 0.85. This strategy simplifies the conversion by creating a denominator of 100, making it easier to write the decimal.
When 9/11 is converted to a decimal, what are the first three digits after the decimal point?
818
909
727
8181
Dividing 9 by 11 gives approximately 0.818181..., so the first three digits after the decimal are 818. This problem challenges students to recognize repeating patterns in decimals.
0
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Study Outcomes

  1. Understand the relationship between fractions and decimals.
  2. Apply conversion techniques to transform fractions into decimals.
  3. Analyze step-by-step procedures for accurate fraction to decimal conversion.
  4. Evaluate decimal results for correctness and precision.
  5. Solve practice problems to reinforce and build mathematical readiness.

Fraction to Decimal Test Cheat Sheet

  1. Divide to convert any fraction - Grab your numerator and denominator, fire up long division, and watch the decimal unfold! This classic method works on every fraction so you'll never get stuck. Study Guide - Converting Fractions to Decimals
  2. Quick wins with denominators of 10, 100, or 1000 - If the bottom number is a power of ten, just slide the decimal point left the right number of places. Instant conversion magic makes 25/100 into 0.25 in a snap! Convert Fractions to Decimals Worksheets
  3. Catch those repeating decimals - Some fractions never end their party and repeat forever, like 1/3 = 0.333… . Spotting the pattern early helps you write it neatly with a bar over the repeat. Study Guide - Converting Fractions to Decimals
  4. Flip decimals back to fractions - Count the decimal places, write the number over the matching power of ten, then simplify! For example, 0.75 becomes 75/100, which reduces to 3/4. Converting Fractions and Decimals
  5. Master decimal fractions - When the denominator is always 10, 100, or 1000, you're dealing with decimal fractions. Knowing this trick means you breeze through conversions like 1/10 = 0.1 or 7/1000 = 0.007. Decimal Fractions - eMathHelp
  6. Solidify skills with practice - The golden rule of math is practice, practice, practice! Tackle worksheets to turn theory into muscle memory and watch your speed soar. Convert Fractions to Decimals | EdBoost
  7. Tackle tricky denominators with long division - When you can't use a power of ten shortcut, pull out long division. Fractions like 7/8 will convert perfectly to 0.875, one digit at a time. Converting Fractions to Decimals | Solved Examples
  8. Differentiate terminating vs. repeating decimals - Some fractions end nicely (1/4 = 0.25) while others loop forever (2/3 = 0.666…). Knowing which is which saves you from confusion later on. Study Guide - Converting Fractions to Decimals
  9. Use interactive tools - Online games and quizzes make learning feel like playtime. Interactive exercises keep your brain engaged and eager for more challenges. Convert Fractions to Decimals Worksheets
  10. Build a foundation for advanced math - Converting between fractions and decimals is more than a party trick - it's the groundwork for algebra, statistics, and beyond. Master it now and future you will thank you! Converting Fractions and Decimals
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