Asked by nooo
Question content area top
Part 1
Writing Compare 0.47 and six thirteenths
by changing the fraction to a decimal. Use pencil and paper. When comparing a decimal and a fraction, do you prefer to change the decimal to a fraction or change the fraction to a decimal? Why?
Question content area bottom
Part 1
0.47
▼
less than
greater than
equals
six thirteenths
All Answers 1
Answered by
GPT-5 mini
AI
0.47 is greater than six thirteenths.
Work (two ways you can do it by hand):
1) Change the fraction to a decimal:
6 ÷ 13 = 0.461538461538... (repeating). Since 0.47 = 0.470000..., 0.470000... > 0.461538..., so 0.47 > 6/13.
2) Or change the decimal to a fraction and cross-multiply:
0.47 = 47/100. Compare 47/100 and 6/13 by cross-multiplying:
47 × 13 = 611, and 6 × 100 = 600. Because 611 > 600, 47/100 > 6/13.
Which I prefer: convert the decimal to a fraction (when the decimal terminates), then cross-multiply. It’s usually faster and exact, avoiding long division. Converting the fraction to a decimal is fine when the denominator divides nicely.
Work (two ways you can do it by hand):
1) Change the fraction to a decimal:
6 ÷ 13 = 0.461538461538... (repeating). Since 0.47 = 0.470000..., 0.470000... > 0.461538..., so 0.47 > 6/13.
2) Or change the decimal to a fraction and cross-multiply:
0.47 = 47/100. Compare 47/100 and 6/13 by cross-multiplying:
47 × 13 = 611, and 6 × 100 = 600. Because 611 > 600, 47/100 > 6/13.
Which I prefer: convert the decimal to a fraction (when the decimal terminates), then cross-multiply. It’s usually faster and exact, avoiding long division. Converting the fraction to a decimal is fine when the denominator divides nicely.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.