Podcast
Questions and Answers
What is the result of adding two fractions with the same denominator?
What is the result of adding two fractions with the same denominator?
What must be done when adding fractions with different denominators?
What must be done when adding fractions with different denominators?
What is the correct formula for subtracting two fractions with different denominators?
What is the correct formula for subtracting two fractions with different denominators?
Which of the following statements is essential before performing any addition or subtraction with fractions?
Which of the following statements is essential before performing any addition or subtraction with fractions?
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After performing an operation with fractions, what should you do if the result can be simplified?
After performing an operation with fractions, what should you do if the result can be simplified?
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Study Notes
Phân Số
Định nghĩa
- Phân số là biểu thức dạng a/b, trong đó a (tử số) và b (mẫu số) là các số nguyên, b khác 0.
Cộng Phân Số
-
Công thức:
- Cộng hai phân số cùng mẫu:
( \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b} ) - Cộng hai phân số khác mẫu:
( \frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d} )
- Cộng hai phân số cùng mẫu:
-
Bước thực hiện:
- Đối với phân số cùng mẫu, cộng tử số.
- Đối với phân số khác mẫu, tìm mẫu chung (b * d), quy đồng hai phân số, sau đó cộng tử số.
Trừ Phân Số
-
Công thức:
- Trừ hai phân số cùng mẫu:
( \frac{a}{b} - \frac{c}{b} = \frac{a-c}{b} ) - Trừ hai phân số khác mẫu:
( \frac{a}{b} - \frac{c}{d} = \frac{a \cdot d - b \cdot c}{b \cdot d} )
- Trừ hai phân số cùng mẫu:
-
Bước thực hiện:
- Đối với phân số cùng mẫu, trừ tử số.
- Đối với phân số khác mẫu, tìm mẫu chung (b * d), quy đồng hai phân số, sau đó trừ tử số.
Lưu ý
- Khi thực hiện phép cộng và trừ, cần rút gọn phân số kết quả nếu có thể.
- Luôn luôn kiểm tra xem mẫu số có khác 0 hay không trước khi thực hiện phép toán.
Definition of Fractions
- A fraction is expressed in the form a/b, where a (numerator) and b (denominator) are integers, and b cannot be zero.
Adding Fractions
-
Formula for Addition:
- For fractions with the same denominator:
( \frac{a}{b} + \frac{c}{b} = \frac{a+c}{b} ) - For fractions with different denominators:
( \frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d} )
- For fractions with the same denominator:
-
Step-by-Step Process:
- For fractions sharing the same denominator, simply add their numerators.
- For fractions with different denominators, find a common denominator (b * d), rewrite both fractions with this common denominator, then add their numerators.
Subtracting Fractions
-
Formula for Subtraction:
- For fractions with the same denominator:
( \frac{a}{b} - \frac{c}{b} = \frac{a-c}{b} ) - For fractions with different denominators:
( \frac{a}{b} - \frac{c}{d} = \frac{a \cdot d - b \cdot c}{b \cdot d} )
- For fractions with the same denominator:
-
Step-by-Step Process:
- For fractions with the same denominator, subtract the numerators.
- For fractions with different denominators, find a common denominator (b * d), rewrite both fractions accordingly, then subtract the numerators.
Important Notes
- Always simplify the resulting fraction if possible after addition or subtraction.
- Verify that the denominator is not zero before performing any operations.
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Description
This quiz covers the basics of fractions, including definitions, addition, and subtraction. You'll learn how to add and subtract fractions with like and unlike denominators. Put your knowledge to the test and see how well you understand the operations with fractions.
