Class 7 Exam > Class 7 Questions > Rewrite −44/72 in the simplest form.a)-...
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Rewrite −44/72 in the simplest form.
- a)-18/11
- b)-11/18
- c)-11/19
- d)-11/20
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Rewrite −44/72 in the simplest form.a)-18/11b)-11/18c)-11/19d)-1...
The HCF for 44 & 72 is 4
divide the numerator & denominator by HCF 4 and rewrite the fraction
= (44/4) / (72/4)
= 11/18
= (44/4) / (72/4)
= 11/18
Most Upvoted Answer
Rewrite −44/72 in the simplest form.a)-18/11b)-11/18c)-11/19d)-1...
Understanding the Problem
To simplify the fraction -44/72, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by that number.
Finding the GCD
- The factors of 44 are: 1, 2, 4, 11, 22, and 44.
- The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, and 4. The greatest of these is 4.
Simplifying the Fraction
Now, divide both the numerator and denominator by the GCD:
- Numerator: -44 ÷ 4 = -11
- Denominator: 72 ÷ 4 = 18
Thus, we have:
-44/72 = -11/18
Choosing the Correct Answer
Among the given options:
- a) -18/11
- b) -11/18
- c) -11/19
- d) -11/20
The simplified form we found is -11/18, which matches option 'B'.
Conclusion
The correct answer to the question is indeed option 'B' - -11/18, as it is the simplest form of the fraction -44/72.
To simplify the fraction -44/72, we need to find the greatest common divisor (GCD) of the numerator and denominator and then divide both by that number.
Finding the GCD
- The factors of 44 are: 1, 2, 4, 11, 22, and 44.
- The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The common factors are 1, 2, and 4. The greatest of these is 4.
Simplifying the Fraction
Now, divide both the numerator and denominator by the GCD:
- Numerator: -44 ÷ 4 = -11
- Denominator: 72 ÷ 4 = 18
Thus, we have:
-44/72 = -11/18
Choosing the Correct Answer
Among the given options:
- a) -18/11
- b) -11/18
- c) -11/19
- d) -11/20
The simplified form we found is -11/18, which matches option 'B'.
Conclusion
The correct answer to the question is indeed option 'B' - -11/18, as it is the simplest form of the fraction -44/72.
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Community Answer
Rewrite −44/72 in the simplest form.a)-18/11b)-11/18c)-11/19d)-1...
The HCF for 44 & 72 is 4
divide the numerator & denominator by HCF 4 and rewrite the fraction
= (44/4) / (72/4)
= 11/18
= (44/4) / (72/4)
= 11/18
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Rewrite −44/72 in the simplest form.a)-18/11b)-11/18c)-11/19d)-11/20Correct answer is option 'B'. Can you explain this answer?
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