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  1. Subjects ›
  2. 4th Grade Math ›
  3. Question of the Day

4th Grade Math Question of the Day

4th Grade Math Question of the Day

Answer today's 4th Grade Math question, reveal the full explanation, then keep the streak going with a new question every day.

Keisha has 0.90.90.9 liter of juice. Write 0.90.90.9 as a fraction with a denominator of 101010.

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Question of the Day

Keisha has 0.90.90.9 liter of juice. Write 0.90.90.9 as a fraction with a denominator of 101010.

  1. 9/109/109/10 (correct answer)
  2. 90/100090/100090/1000
  3. 0.9/100.9/100.9/10
  4. 9/1009/1009/100

Explanation: This question tests 4th grade understanding of decimal notation for fractions with denominators 10 or 100, converting between forms and locating on number lines (CCSS.4.NF.6). Decimals are just another way to write fractions that have denominators of 10 or 100. The decimal 0.a (one digit after the decimal point) represents a/10 (a tenths), and the decimal 0.ab (two digits) represents ab/100 (ab hundredths). The decimal point separates the whole number part from the fractional part, with the place values to the right representing tenths, hundredths, etc. For decimal to fraction: The decimal 0.9 has one decimal place, so the denominator is 10. The digit 9 after the decimal point becomes the numerator: 0.9 = 9/10. Choice A is correct because it matches the one decimal place with denominator 10. Choice C represents a wrong denominator (used 100 instead of 10), which happens when students confuse tenths and hundredths places. To help students: Count decimal places—one place = tenths (denominator 10). For 0.9: '9' in tenths place, so 9/10. Practice equivalence: 0.9 = 9/10 = 90/100. Use hundredths grid: shade 90 squares for 0.90 to show equivalence.