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Add the following unlike fraction :;5/12- 7/24?
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Add the following unlike fraction :;5/12- 7/24?
Subtracting Unlike Fractions: 5/12 - 7/24
Understanding Unlike Fractions
Fractions are numbers that represent a part of a whole. They consist of a numerator (the number on top) and a denominator (the number on the bottom). Fractions can be added, subtracted, multiplied, or divided.
When subtracting fractions, the fractions must have a common denominator. In this case, the fractions 5/12 and 7/24 have different denominators, which makes them unlike fractions. To subtract unlike fractions, we need to find a common denominator.
Finding a Common Denominator
To find a common denominator, we need to identify the least common multiple (LCM) of the two denominators. The LCM is the smallest multiple that both numbers share.
In this case, the denominators are 12 and 24. The multiples of 12 are 12, 24, 36, 48, and so on. The multiples of 24 are 24, 48, 72, and so on. The least common multiple of 12 and 24 is 24.
Converting the Fractions
To convert the fractions to have a common denominator of 24, we need to multiply both the numerator and denominator of each fraction by the same number.
For the fraction 5/12, we need to multiply both the numerator and denominator by 2 to get 10/24.
For the fraction 7/24, we don't need to make any changes as the denominator is already 24.
Now, we have the fractions 10/24 and 7/24, both with a common denominator of 24.
Subtracting the Fractions
Now that the fractions have a common denominator, we can subtract them.
Subtracting the numerators, 10 - 7 = 3.
The denominator remains the same, 24.
Therefore, 10/24 - 7/24 = 3/24.
Simplifying the Result
To simplify the result, we can divide both the numerator and denominator by their greatest common divisor.
The greatest common divisor of 3 and 24 is 3.
Dividing both the numerator and denominator by 3, we get 1/8.
Therefore, 5/12 - 7/24 = 1/8.
Summary
To subtract unlike fractions, we need to find a common denominator. In this case, the common denominator was 24. By converting the fractions 5/12 and 7/24 to have a common denominator, we obtained 10/24 and 7/24. Subtracting these fractions resulted in 3/24, which can be simplified to 1/8.
Understanding Unlike Fractions
Fractions are numbers that represent a part of a whole. They consist of a numerator (the number on top) and a denominator (the number on the bottom). Fractions can be added, subtracted, multiplied, or divided.
When subtracting fractions, the fractions must have a common denominator. In this case, the fractions 5/12 and 7/24 have different denominators, which makes them unlike fractions. To subtract unlike fractions, we need to find a common denominator.
Finding a Common Denominator
To find a common denominator, we need to identify the least common multiple (LCM) of the two denominators. The LCM is the smallest multiple that both numbers share.
In this case, the denominators are 12 and 24. The multiples of 12 are 12, 24, 36, 48, and so on. The multiples of 24 are 24, 48, 72, and so on. The least common multiple of 12 and 24 is 24.
Converting the Fractions
To convert the fractions to have a common denominator of 24, we need to multiply both the numerator and denominator of each fraction by the same number.
For the fraction 5/12, we need to multiply both the numerator and denominator by 2 to get 10/24.
For the fraction 7/24, we don't need to make any changes as the denominator is already 24.
Now, we have the fractions 10/24 and 7/24, both with a common denominator of 24.
Subtracting the Fractions
Now that the fractions have a common denominator, we can subtract them.
Subtracting the numerators, 10 - 7 = 3.
The denominator remains the same, 24.
Therefore, 10/24 - 7/24 = 3/24.
Simplifying the Result
To simplify the result, we can divide both the numerator and denominator by their greatest common divisor.
The greatest common divisor of 3 and 24 is 3.
Dividing both the numerator and denominator by 3, we get 1/8.
Therefore, 5/12 - 7/24 = 1/8.
Summary
To subtract unlike fractions, we need to find a common denominator. In this case, the common denominator was 24. By converting the fractions 5/12 and 7/24 to have a common denominator, we obtained 10/24 and 7/24. Subtracting these fractions resulted in 3/24, which can be simplified to 1/8.
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Add the following unlike fraction :;5/12- 7/24?
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Add the following unlike fraction :;5/12- 7/24?
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Add the following unlike fraction :;5/12- 7/24? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Add the following unlike fraction :;5/12- 7/24? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add the following unlike fraction :;5/12- 7/24?.
Add the following unlike fraction :;5/12- 7/24? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Add the following unlike fraction :;5/12- 7/24? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Add the following unlike fraction :;5/12- 7/24?.
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