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Express 0.85 as a fraction in its lowest terms.
- a)17/20
- b)17/25
- c)19/20
- d)19/25
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Express 0.85 as a fraction in its lowest terms.a)17/20b)17/25c)19/20d)...
Step 1 : Write down : 0.85 /1 Step
2 : Multiply both top and bottom by 100 (because there were 2 digits after the decimal point).It will become 85 / 100.
Step 3 : Simplify the fraction : 85 and 100 have a common factor 5, so divide top and bottom by 5 and we get 17/20.
2 : Multiply both top and bottom by 100 (because there were 2 digits after the decimal point).It will become 85 / 100.
Step 3 : Simplify the fraction : 85 and 100 have a common factor 5, so divide top and bottom by 5 and we get 17/20.
Most Upvoted Answer
Express 0.85 as a fraction in its lowest terms.a)17/20b)17/25c)19/20d)...
Understanding the Decimal 0.85
To convert the decimal 0.85 into a fraction, follow these steps:
Step 1: Write as a Fraction
- Start by expressing 0.85 as a fraction:
0.85 = 85/100
Step 2: Simplify the Fraction
- Now, simplify the fraction 85/100 by finding the greatest common divisor (GCD) of the numerator (85) and the denominator (100).
Step 3: Find the GCD
- The factors of 85 are 1, 5, 17, and 85.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- The common factor is 5.
Step 4: Divide by the GCD
- Divide both the numerator and the denominator by their GCD (5):
85 ÷ 5 = 17
100 ÷ 5 = 20
Step 5: Write the Simplified Fraction
- This yields the simplified fraction:
0.85 = 17/20
Conclusion
- Therefore, the decimal 0.85 can be expressed as the fraction 17/20 in its lowest terms.
Correct Answer
- The correct option is a) 17/20.
To convert the decimal 0.85 into a fraction, follow these steps:
Step 1: Write as a Fraction
- Start by expressing 0.85 as a fraction:
0.85 = 85/100
Step 2: Simplify the Fraction
- Now, simplify the fraction 85/100 by finding the greatest common divisor (GCD) of the numerator (85) and the denominator (100).
Step 3: Find the GCD
- The factors of 85 are 1, 5, 17, and 85.
- The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
- The common factor is 5.
Step 4: Divide by the GCD
- Divide both the numerator and the denominator by their GCD (5):
85 ÷ 5 = 17
100 ÷ 5 = 20
Step 5: Write the Simplified Fraction
- This yields the simplified fraction:
0.85 = 17/20
Conclusion
- Therefore, the decimal 0.85 can be expressed as the fraction 17/20 in its lowest terms.
Correct Answer
- The correct option is a) 17/20.
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Express 0.85 as a fraction in its lowest terms.a)17/20b)17/25c)19/20d)19/25Correct answer is option 'A'. Can you explain this answer?
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